Finding the Fourth Proportional to 10,078.48, 13,908.18 and 5,602.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.48 : 13,908.18 = 5,602.24 : x
2. Step 2: Convert to fraction form
   10,078.48/13,908.18 = 5,602.24/x
3. Step 3: Cross multiply
   10,078.48x = 13,908.18 × 5,602.24
4. Step 4: Simplify right side
   10,078.48x = 77,916,962.32
5. Step 5: Solve for x
   x = 77,916,962.32/10,078.48
6. Step 6: Final answer
   x = 7,731.02