Finding the Fourth Proportional to 10,281, 14,187.78 and 5,565.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,281 : 14,187.78 = 5,565.32 : x
2. Step 2: Convert to fraction form
   10,281/14,187.78 = 5,565.32/x
3. Step 3: Cross multiply
   10,281x = 14,187.78 × 5,565.32
4. Step 4: Simplify right side
   10,281x = 78,959,535.79
5. Step 5: Solve for x
   x = 78,959,535.79/10,281
6. Step 6: Final answer
   x = 7,680.14