Finding the Fourth Proportional to 1,148.72, 1,584.94 and 728.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.72 : 1,584.94 = 728.32 : x
2. Step 2: Convert to fraction form
   1,148.72/1,584.94 = 728.32/x
3. Step 3: Cross multiply
   1,148.72x = 1,584.94 × 728.32
4. Step 4: Simplify right side
   1,148.72x = 1,154,343.50
5. Step 5: Solve for x
   x = 1,154,343.50/1,148.72
6. Step 6: Final answer
   x = 1,004.90