Finding the Fourth Proportional to 10,071.50, 15,092.66 and 5,679.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,071.50 : 15,092.66 = 5,679.62 : x
2. Step 2: Convert to fraction form
   10,071.50/15,092.66 = 5,679.62/x
3. Step 3: Cross multiply
   10,071.50x = 15,092.66 × 5,679.62
4. Step 4: Simplify right side
   10,071.50x = 85,720,469.73
5. Step 5: Solve for x
   x = 85,720,469.73/10,071.50
6. Step 6: Final answer
   x = 8,511.20