Finding the Fourth Proportional to 1,296.64, 1,789.37 and 707.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,296.64 : 1,789.37 = 707.18 : x
2. Step 2: Convert to fraction form
   1,296.64/1,789.37 = 707.18/x
3. Step 3: Cross multiply
   1,296.64x = 1,789.37 × 707.18
4. Step 4: Simplify right side
   1,296.64x = 1,265,410.89
5. Step 5: Solve for x
   x = 1,265,410.89/1,296.64
6. Step 6: Final answer
   x = 975.91