Finding the Fourth Proportional to 10,188.17, 14,059.94 and 5,711.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,188.17 : 14,059.94 = 5,711.80 : x
2. Step 2: Convert to fraction form
   10,188.17/14,059.94 = 5,711.80/x
3. Step 3: Cross multiply
   10,188.17x = 14,059.94 × 5,711.80
4. Step 4: Simplify right side
   10,188.17x = 80,307,565.29
5. Step 5: Solve for x
   x = 80,307,565.29/10,188.17
6. Step 6: Final answer
   x = 7,882.43