Finding the Fourth Proportional to 2,588.72, 3,572.52 and 1,540.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588.72 : 3,572.52 = 1,540.64 : x
2. Step 2: Convert to fraction form
   2,588.72/3,572.52 = 1,540.64/x
3. Step 3: Cross multiply
   2,588.72x = 3,572.52 × 1,540.64
4. Step 4: Simplify right side
   2,588.72x = 5,503,967.21
5. Step 5: Solve for x
   x = 5,503,967.21/2,588.72
6. Step 6: Final answer
   x = 2,126.13