Finding the Fourth Proportional to 3,627.83, 5,006.51 and 2,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,627.83 : 5,006.51 = 2,567.50 : x
2. Step 2: Convert to fraction form
   3,627.83/5,006.51 = 2,567.50/x
3. Step 3: Cross multiply
   3,627.83x = 5,006.51 × 2,567.50
4. Step 4: Simplify right side
   3,627.83x = 12,854,214.43
5. Step 5: Solve for x
   x = 12,854,214.43/3,627.83
6. Step 6: Final answer
   x = 3,543.22