Finding the Fourth Proportional to 1,148.86, 1,585.46 and 707.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.86 : 1,585.46 = 707.02 : x
2. Step 2: Convert to fraction form
   1,148.86/1,585.46 = 707.02/x
3. Step 3: Cross multiply
   1,148.86x = 1,585.46 × 707.02
4. Step 4: Simplify right side
   1,148.86x = 1,120,951.93
5. Step 5: Solve for x
   x = 1,120,951.93/1,148.86
6. Step 6: Final answer
   x = 975.71