Finding the Fourth Proportional to 3,626.83, 5,005.13 and 2,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,626.83 : 5,005.13 = 2,566.50 : x
2. Step 2: Convert to fraction form
   3,626.83/5,005.13 = 2,566.50/x
3. Step 3: Cross multiply
   3,626.83x = 5,005.13 × 2,566.50
4. Step 4: Simplify right side
   3,626.83x = 12,845,666.15
5. Step 5: Solve for x
   x = 12,845,666.15/3,626.83
6. Step 6: Final answer
   x = 3,541.84