Finding the Fourth Proportional to 5,152.56, 7,666.86 and 5,135.28

Step by Step Solution

1. Step 1: Write the proportion equation
   5,152.56 : 7,666.86 = 5,135.28 : x
2. Step 2: Convert to fraction form
   5,152.56/7,666.86 = 5,135.28/x
3. Step 3: Cross multiply
   5,152.56x = 7,666.86 × 5,135.28
4. Step 4: Simplify right side
   5,152.56x = 39,371,472.82
5. Step 5: Solve for x
   x = 39,371,472.82/5,152.56
6. Step 6: Final answer
   x = 7,641.15