Finding the Fourth Proportional to 1,148.16, 1,582.72 and 940.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.16 : 1,582.72 = 940.80 : x
2. Step 2: Convert to fraction form
   1,148.16/1,582.72 = 940.80/x
3. Step 3: Cross multiply
   1,148.16x = 1,582.72 × 940.80
4. Step 4: Simplify right side
   1,148.16x = 1,489,022.98
5. Step 5: Solve for x
   x = 1,489,022.98/1,148.16
6. Step 6: Final answer
   x = 1,296.88