Finding the Fourth Proportional to 1,502.72, 2,255.52 and 820.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,502.72 : 2,255.52 = 820.16 : x
2. Step 2: Convert to fraction form
   1,502.72/2,255.52 = 820.16/x
3. Step 3: Cross multiply
   1,502.72x = 2,255.52 × 820.16
4. Step 4: Simplify right side
   1,502.72x = 1,849,887.28
5. Step 5: Solve for x
   x = 1,849,887.28/1,502.72
6. Step 6: Final answer
   x = 1,231.03