Finding the Fourth Proportional to 205,101.42, 283,039.40 and 114,456.42

Step by Step Solution

1. Step 1: Write the proportion equation
   205,101.42 : 283,039.40 = 114,456.42 : x
2. Step 2: Convert to fraction form
   205,101.42/283,039.40 = 114,456.42/x
3. Step 3: Cross multiply
   205,101.42x = 283,039.40 × 114,456.42
4. Step 4: Simplify right side
   205,101.42x = 32,395,675,870.67
5. Step 5: Solve for x
   x = 32,395,675,870.67/205,101.42
6. Step 6: Final answer
   x = 157,949.54