Finding the Fourth Proportional to 123,002.16, 169,678.32 and 77,663.76

Step by Step Solution

1. Step 1: Write the proportion equation
   123,002.16 : 169,678.32 = 77,663.76 : x
2. Step 2: Convert to fraction form
   123,002.16/169,678.32 = 77,663.76/x
3. Step 3: Cross multiply
   123,002.16x = 169,678.32 × 77,663.76
4. Step 4: Simplify right side
   123,002.16x = 13,177,856,321.68
5. Step 5: Solve for x
   x = 13,177,856,321.68/123,002.16
6. Step 6: Final answer
   x = 107,135.16