Finding the Fourth Proportional to 1,145.76, 1,581.24 and 648.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,145.76 : 1,581.24 = 648.42 : x
2. Step 2: Convert to fraction form
   1,145.76/1,581.24 = 648.42/x
3. Step 3: Cross multiply
   1,145.76x = 1,581.24 × 648.42
4. Step 4: Simplify right side
   1,145.76x = 1,025,307.64
5. Step 5: Solve for x
   x = 1,025,307.64/1,145.76
6. Step 6: Final answer
   x = 894.87