Finding the Fourth Proportional to 10,078.56, 13,908.32 and 5,602.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.56 : 13,908.32 = 5,602.71 : x
2. Step 2: Convert to fraction form
   10,078.56/13,908.32 = 5,602.71/x
3. Step 3: Cross multiply
   10,078.56x = 13,908.32 × 5,602.71
4. Step 4: Simplify right side
   10,078.56x = 77,924,185.99
5. Step 5: Solve for x
   x = 77,924,185.99/10,078.56
6. Step 6: Final answer
   x = 7,731.68