Finding the Fourth Proportional to 1,148.48, 1,586.76 and 800.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.48 : 1,586.76 = 800.72 : x
2. Step 2: Convert to fraction form
   1,148.48/1,586.76 = 800.72/x
3. Step 3: Cross multiply
   1,148.48x = 1,586.76 × 800.72
4. Step 4: Simplify right side
   1,148.48x = 1,270,550.47
5. Step 5: Solve for x
   x = 1,270,550.47/1,148.48
6. Step 6: Final answer
   x = 1,106.29