Finding the Fourth Proportional to 82,767.60, 123,588.53 and 78,090.15

Step by Step Solution

1. Step 1: Write the proportion equation
   82,767.60 : 123,588.53 = 78,090.15 : x
2. Step 2: Convert to fraction form
   82,767.60/123,588.53 = 78,090.15/x
3. Step 3: Cross multiply
   82,767.60x = 123,588.53 × 78,090.15
4. Step 4: Simplify right side
   82,767.60x = 9,651,046,845.98
5. Step 5: Solve for x
   x = 9,651,046,845.98/82,767.60
6. Step 6: Final answer
   x = 116,604.16