Finding the Fourth Proportional to 2,658.33, 3,981.32 and 2,566.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,658.33 : 3,981.32 = 2,566.05 : x
2. Step 2: Convert to fraction form
   2,658.33/3,981.32 = 2,566.05/x
3. Step 3: Cross multiply
   2,658.33x = 3,981.32 × 2,566.05
4. Step 4: Simplify right side
   2,658.33x = 10,216,253.36
5. Step 5: Solve for x
   x = 10,216,253.36/2,658.33
6. Step 6: Final answer
   x = 3,843.11