Finding the Fourth Proportional to 1,296.50, 1,789.17 and 707.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,296.50 : 1,789.17 = 707.05 : x
2. Step 2: Convert to fraction form
   1,296.50/1,789.17 = 707.05/x
3. Step 3: Cross multiply
   1,296.50x = 1,789.17 × 707.05
4. Step 4: Simplify right side
   1,296.50x = 1,265,032.65
5. Step 5: Solve for x
   x = 1,265,032.65/1,296.50
6. Step 6: Final answer
   x = 975.73