Finding the Fourth Proportional to 2,588.14, 3,572.67 and 1,540

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588.14 : 3,572.67 = 1,540 : x
2. Step 2: Convert to fraction form
   2,588.14/3,572.67 = 1,540/x
3. Step 3: Cross multiply
   2,588.14x = 3,572.67 × 1,540
4. Step 4: Simplify right side
   2,588.14x = 5,501,911.80
5. Step 5: Solve for x
   x = 5,501,911.80/2,588.14
6. Step 6: Final answer
   x = 2,125.82