Finding the Fourth Proportional to 2,567.64, 3,543.98 and 1,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,567.64 : 3,543.98 = 1,519.50 : x
2. Step 2: Convert to fraction form
   2,567.64/3,543.98 = 1,519.50/x
3. Step 3: Cross multiply
   2,567.64x = 3,543.98 × 1,519.50
4. Step 4: Simplify right side
   2,567.64x = 5,385,070.01
5. Step 5: Solve for x
   x = 5,385,070.01/2,567.64
6. Step 6: Final answer
   x = 2,097.28