Finding the Fourth Proportional to 205,097.59, 307,646.25 and 105,202.18

Step by Step Solution

1. Step 1: Write the proportion equation
   205,097.59 : 307,646.25 = 105,202.18 : x
2. Step 2: Convert to fraction form
   205,097.59/307,646.25 = 105,202.18/x
3. Step 3: Cross multiply
   205,097.59x = 307,646.25 × 105,202.18
4. Step 4: Simplify right side
   205,097.59x = 32,365,056,168.83
5. Step 5: Solve for x
   x = 32,365,056,168.83/205,097.59
6. Step 6: Final answer
   x = 157,803.20