Finding the Fourth Proportional to 10,282.39, 14,189.70 and 5,566.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282.39 : 14,189.70 = 5,566.67 : x
2. Step 2: Convert to fraction form
   10,282.39/14,189.70 = 5,566.67/x
3. Step 3: Cross multiply
   10,282.39x = 14,189.70 × 5,566.67
4. Step 4: Simplify right side
   10,282.39x = 78,989,377.30
5. Step 5: Solve for x
   x = 78,989,377.30/10,282.39
6. Step 6: Final answer
   x = 7,682.01