Finding the Fourth Proportional to 1,147.72, 1,582.92 and 705.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.72 : 1,582.92 = 705.46 : x
2. Step 2: Convert to fraction form
   1,147.72/1,582.92 = 705.46/x
3. Step 3: Cross multiply
   1,147.72x = 1,582.92 × 705.46
4. Step 4: Simplify right side
   1,147.72x = 1,116,683.77
5. Step 5: Solve for x
   x = 1,116,683.77/1,147.72
6. Step 6: Final answer
   x = 972.96