Finding the Fourth Proportional to 76,385.98, 105,413.76 and 42,395.14

Step by Step Solution

1. Step 1: Write the proportion equation
   76,385.98 : 105,413.76 = 42,395.14 : x
2. Step 2: Convert to fraction form
   76,385.98/105,413.76 = 42,395.14/x
3. Step 3: Cross multiply
   76,385.98x = 105,413.76 × 42,395.14
4. Step 4: Simplify right side
   76,385.98x = 4,469,031,113.13
5. Step 5: Solve for x
   x = 4,469,031,113.13/76,385.98
6. Step 6: Final answer
   x = 58,505.91