Finding the Fourth Proportional to 10,114.08, 13,957.27 and 5,637.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.08 : 13,957.27 = 5,637.71 : x
2. Step 2: Convert to fraction form
   10,114.08/13,957.27 = 5,637.71/x
3. Step 3: Cross multiply
   10,114.08x = 13,957.27 × 5,637.71
4. Step 4: Simplify right side
   10,114.08x = 78,687,120.72
5. Step 5: Solve for x
   x = 78,687,120.72/10,114.08
6. Step 6: Final answer
   x = 7,779.96