Finding the Fourth Proportional to 1,648.72, 2,275.20 and 902.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.72 : 2,275.20 = 902.64 : x
2. Step 2: Convert to fraction form
   1,648.72/2,275.20 = 902.64/x
3. Step 3: Cross multiply
   1,648.72x = 2,275.20 × 902.64
4. Step 4: Simplify right side
   1,648.72x = 2,053,686.53
5. Step 5: Solve for x
   x = 2,053,686.53/1,648.72
6. Step 6: Final answer
   x = 1,245.62