Finding the Fourth Proportional to 2,567.77, 3,543.57 and 1,506.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,567.77 : 3,543.57 = 1,506.30 : x
2. Step 2: Convert to fraction form
   2,567.77/3,543.57 = 1,506.30/x
3. Step 3: Cross multiply
   2,567.77x = 3,543.57 × 1,506.30
4. Step 4: Simplify right side
   2,567.77x = 5,337,679.49
5. Step 5: Solve for x
   x = 5,337,679.49/2,567.77
6. Step 6: Final answer
   x = 2,078.72