Finding the Fourth Proportional to 10,281.80, 14,188.86 and 5,566.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,281.80 : 14,188.86 = 5,566.08 : x
2. Step 2: Convert to fraction form
   10,281.80/14,188.86 = 5,566.08/x
3. Step 3: Cross multiply
   10,281.80x = 14,188.86 × 5,566.08
4. Step 4: Simplify right side
   10,281.80x = 78,976,329.87
5. Step 5: Solve for x
   x = 78,976,329.87/10,281.80
6. Step 6: Final answer
   x = 7,681.18