Finding the Fourth Proportional to 105,784.41, 158,677.16 and 35,664.33

Step by Step Solution

1. Step 1: Write the proportion equation
   105,784.41 : 158,677.16 = 35,664.33 : x
2. Step 2: Convert to fraction form
   105,784.41/158,677.16 = 35,664.33/x
3. Step 3: Cross multiply
   105,784.41x = 158,677.16 × 35,664.33
4. Step 4: Simplify right side
   105,784.41x = 5,659,114,419.38
5. Step 5: Solve for x
   x = 5,659,114,419.38/105,784.41
6. Step 6: Final answer
   x = 53,496.68