Finding the Fourth Proportional to 82,407.14, 123,610.67 and 78,199.89

Step by Step Solution

1. Step 1: Write the proportion equation
   82,407.14 : 123,610.67 = 78,199.89 : x
2. Step 2: Convert to fraction form
   82,407.14/123,610.67 = 78,199.89/x
3. Step 3: Cross multiply
   82,407.14x = 123,610.67 × 78,199.89
4. Step 4: Simplify right side
   82,407.14x = 9,666,340,405.83
5. Step 5: Solve for x
   x = 9,666,340,405.83/82,407.14
6. Step 6: Final answer
   x = 117,299.79