Finding the Fourth Proportional to 1,645.62, 2,271.57 and 1,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,645.62 : 2,271.57 = 1,024.50 : x
2. Step 2: Convert to fraction form
   1,645.62/2,271.57 = 1,024.50/x
3. Step 3: Cross multiply
   1,645.62x = 2,271.57 × 1,024.50
4. Step 4: Simplify right side
   1,645.62x = 2,327,223.47
5. Step 5: Solve for x
   x = 2,327,223.47/1,645.62
6. Step 6: Final answer
   x = 1,414.19