Finding the Fourth Proportional to 1,172.52, 1,617.57 and 706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,172.52 : 1,617.57 = 706.50 : x
2. Step 2: Convert to fraction form
   1,172.52/1,617.57 = 706.50/x
3. Step 3: Cross multiply
   1,172.52x = 1,617.57 × 706.50
4. Step 4: Simplify right side
   1,172.52x = 1,142,813.21
5. Step 5: Solve for x
   x = 1,142,813.21/1,172.52
6. Step 6: Final answer
   x = 974.66