Finding the Fourth Proportional to 10,664.90, 16,002.15 and 5,116.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,664.90 : 16,002.15 = 5,116.10 : x
2. Step 2: Convert to fraction form
   10,664.90/16,002.15 = 5,116.10/x
3. Step 3: Cross multiply
   10,664.90x = 16,002.15 × 5,116.10
4. Step 4: Simplify right side
   10,664.90x = 81,868,599.62
5. Step 5: Solve for x
   x = 81,868,599.62/10,664.90
6. Step 6: Final answer
   x = 7,676.45