Finding the Fourth Proportional to 9,116.10, 13,679.55 and 6,644.70

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.10 : 13,679.55 = 6,644.70 : x
2. Step 2: Convert to fraction form
   9,116.10/13,679.55 = 6,644.70/x
3. Step 3: Cross multiply
   9,116.10x = 13,679.55 × 6,644.70
4. Step 4: Simplify right side
   9,116.10x = 90,896,505.89
5. Step 5: Solve for x
   x = 90,896,505.89/9,116.10
6. Step 6: Final answer
   x = 9,970.99