Finding the Fourth Proportional to 82,401.60, 123,456.60 and 77,152.80

Step by Step Solution

1. Step 1: Write the proportion equation
   82,401.60 : 123,456.60 = 77,152.80 : x
2. Step 2: Convert to fraction form
   82,401.60/123,456.60 = 77,152.80/x
3. Step 3: Cross multiply
   82,401.60x = 123,456.60 × 77,152.80
4. Step 4: Simplify right side
   82,401.60x = 9,525,022,368.48
5. Step 5: Solve for x
   x = 9,525,022,368.48/82,401.60
6. Step 6: Final answer
   x = 115,592.69