Finding the Fourth Proportional to 10,078.77, 13,908.69 and 5,602.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.77 : 13,908.69 = 5,602.38 : x
2. Step 2: Convert to fraction form
   10,078.77/13,908.69 = 5,602.38/x
3. Step 3: Cross multiply
   10,078.77x = 13,908.69 × 5,602.38
4. Step 4: Simplify right side
   10,078.77x = 77,921,766.68
5. Step 5: Solve for x
   x = 77,921,766.68/10,078.77
6. Step 6: Final answer
   x = 7,731.28