Finding the Fourth Proportional to 76,658.42, 105,787.41 and 42,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,658.42 : 105,787.41 = 42,666.50 : x
2. Step 2: Convert to fraction form
   76,658.42/105,787.41 = 42,666.50/x
3. Step 3: Cross multiply
   76,658.42x = 105,787.41 × 42,666.50
4. Step 4: Simplify right side
   76,658.42x = 4,513,578,528.77
5. Step 5: Solve for x
   x = 4,513,578,528.77/76,658.42
6. Step 6: Final answer
   x = 58,879.10