Finding the Fourth Proportional to 2,596.46, 3,876.17 and 2,505.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.46 : 3,876.17 = 2,505.33 : x
2. Step 2: Convert to fraction form
   2,596.46/3,876.17 = 2,505.33/x
3. Step 3: Cross multiply
   2,596.46x = 3,876.17 × 2,505.33
4. Step 4: Simplify right side
   2,596.46x = 9,711,072.46
5. Step 5: Solve for x
   x = 9,711,072.46/2,596.46
6. Step 6: Final answer
   x = 3,740.13