Finding the Fourth Proportional to 2,566.08, 3,856.41 and 2,500.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.08 : 3,856.41 = 2,500.47 : x
2. Step 2: Convert to fraction form
   2,566.08/3,856.41 = 2,500.47/x
3. Step 3: Cross multiply
   2,566.08x = 3,856.41 × 2,500.47
4. Step 4: Simplify right side
   2,566.08x = 9,642,837.51
5. Step 5: Solve for x
   x = 9,642,837.51/2,566.08
6. Step 6: Final answer
   x = 3,757.81