Finding the Fourth Proportional to 9,766.10, 13,477.38 and 5,516.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.10 : 13,477.38 = 5,516.30 : x
2. Step 2: Convert to fraction form
   9,766.10/13,477.38 = 5,516.30/x
3. Step 3: Cross multiply
   9,766.10x = 13,477.38 × 5,516.30
4. Step 4: Simplify right side
   9,766.10x = 74,345,271.29
5. Step 5: Solve for x
   x = 74,345,271.29/9,766.10
6. Step 6: Final answer
   x = 7,612.59