Finding the Fourth Proportional to 10,282.55, 14,189.94 and 5,566.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282.55 : 14,189.94 = 5,566.86 : x
2. Step 2: Convert to fraction form
   10,282.55/14,189.94 = 5,566.86/x
3. Step 3: Cross multiply
   10,282.55x = 14,189.94 × 5,566.86
4. Step 4: Simplify right side
   10,282.55x = 78,993,409.39
5. Step 5: Solve for x
   x = 78,993,409.39/10,282.55
6. Step 6: Final answer
   x = 7,682.28