Finding the Fourth Proportional to 5,182.56, 7,776.54 and 5,166.15

Step by Step Solution

1. Step 1: Write the proportion equation
   5,182.56 : 7,776.54 = 5,166.15 : x
2. Step 2: Convert to fraction form
   5,182.56/7,776.54 = 5,166.15/x
3. Step 3: Cross multiply
   5,182.56x = 7,776.54 × 5,166.15
4. Step 4: Simplify right side
   5,182.56x = 40,174,772.12
5. Step 5: Solve for x
   x = 40,174,772.12/5,182.56
6. Step 6: Final answer
   x = 7,751.92