Finding the Fourth Proportional to 1,583.52, 2,375.16 and 706.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,583.52 : 2,375.16 = 706.05 : x
2. Step 2: Convert to fraction form
   1,583.52/2,375.16 = 706.05/x
3. Step 3: Cross multiply
   1,583.52x = 2,375.16 × 706.05
4. Step 4: Simplify right side
   1,583.52x = 1,676,981.72
5. Step 5: Solve for x
   x = 1,676,981.72/1,583.52
6. Step 6: Final answer
   x = 1,059.02