Finding the Fourth Proportional to 1,584.05, 2,375.51 and 706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.05 : 2,375.51 = 706.50 : x
2. Step 2: Convert to fraction form
   1,584.05/2,375.51 = 706.50/x
3. Step 3: Cross multiply
   1,584.05x = 2,375.51 × 706.50
4. Step 4: Simplify right side
   1,584.05x = 1,678,294.28
5. Step 5: Solve for x
   x = 1,678,294.28/1,584.05
6. Step 6: Final answer
   x = 1,059.50