Finding the Fourth Proportional to 10,134.28, 13,983.60 and 5,657.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,134.28 : 13,983.60 = 5,657.86 : x
2. Step 2: Convert to fraction form
   10,134.28/13,983.60 = 5,657.86/x
3. Step 3: Cross multiply
   10,134.28x = 13,983.60 × 5,657.86
4. Step 4: Simplify right side
   10,134.28x = 79,117,251.10
5. Step 5: Solve for x
   x = 79,117,251.10/10,134.28
6. Step 6: Final answer
   x = 7,806.89