Finding the Fourth Proportional to 82,114.60, 123,026.10 and 76,865.80

Step by Step Solution

1. Step 1: Write the proportion equation
   82,114.60 : 123,026.10 = 76,865.80 : x
2. Step 2: Convert to fraction form
   82,114.60/123,026.10 = 76,865.80/x
3. Step 3: Cross multiply
   82,114.60x = 123,026.10 × 76,865.80
4. Step 4: Simplify right side
   82,114.60x = 9,456,499,597.38
5. Step 5: Solve for x
   x = 9,456,499,597.38/82,114.60
6. Step 6: Final answer
   x = 115,162.22