Finding the Fourth Proportional to 1,528.64, 2,291.24 and 1,002.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,528.64 : 2,291.24 = 1,002.56 : x
2. Step 2: Convert to fraction form
   1,528.64/2,291.24 = 1,002.56/x
3. Step 3: Cross multiply
   1,528.64x = 2,291.24 × 1,002.56
4. Step 4: Simplify right side
   1,528.64x = 2,297,105.57
5. Step 5: Solve for x
   x = 2,297,105.57/1,528.64
6. Step 6: Final answer
   x = 1,502.71