Finding the Fourth Proportional to 2,564.71, 3,540.48 and 1,502.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.71 : 3,540.48 = 1,502.33 : x
2. Step 2: Convert to fraction form
   2,564.71/3,540.48 = 1,502.33/x
3. Step 3: Cross multiply
   2,564.71x = 3,540.48 × 1,502.33
4. Step 4: Simplify right side
   2,564.71x = 5,318,947.86
5. Step 5: Solve for x
   x = 5,318,947.86/2,564.71
6. Step 6: Final answer
   x = 2,073.90