Finding the Fourth Proportional to 1,147.51, 1,583.16 and 705.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.51 : 1,583.16 = 705.52 : x
2. Step 2: Convert to fraction form
   1,147.51/1,583.16 = 705.52/x
3. Step 3: Cross multiply
   1,147.51x = 1,583.16 × 705.52
4. Step 4: Simplify right side
   1,147.51x = 1,116,951.04
5. Step 5: Solve for x
   x = 1,116,951.04/1,147.51
6. Step 6: Final answer
   x = 973.37