Finding the Fourth Proportional to 10,132.37, 13,983.38 and 5,657

Step by Step Solution

1. Step 1: Write the proportion equation
   10,132.37 : 13,983.38 = 5,657 : x
2. Step 2: Convert to fraction form
   10,132.37/13,983.38 = 5,657/x
3. Step 3: Cross multiply
   10,132.37x = 13,983.38 × 5,657
4. Step 4: Simplify right side
   10,132.37x = 79,103,980.66
5. Step 5: Solve for x
   x = 79,103,980.66/10,132.37
6. Step 6: Final answer
   x = 7,807.06