Finding the Fourth Proportional to 1,148.89, 1,585.49 and 706.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.89 : 1,585.49 = 706.53 : x
2. Step 2: Convert to fraction form
   1,148.89/1,585.49 = 706.53/x
3. Step 3: Cross multiply
   1,148.89x = 1,585.49 × 706.53
4. Step 4: Simplify right side
   1,148.89x = 1,120,192.72
5. Step 5: Solve for x
   x = 1,120,192.72/1,148.89
6. Step 6: Final answer
   x = 975.02