Finding the Fourth Proportional to 9,841.48, 14,766.06 and 5,679.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,841.48 : 14,766.06 = 5,679.29 : x
2. Step 2: Convert to fraction form
   9,841.48/14,766.06 = 5,679.29/x
3. Step 3: Cross multiply
   9,841.48x = 14,766.06 × 5,679.29
4. Step 4: Simplify right side
   9,841.48x = 83,860,736.90
5. Step 5: Solve for x
   x = 83,860,736.90/9,841.48
6. Step 6: Final answer
   x = 8,521.15