Finding the Fourth Proportional to 1,296.20, 1,788.76 and 706.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,296.20 : 1,788.76 = 706.72 : x
2. Step 2: Convert to fraction form
   1,296.20/1,788.76 = 706.72/x
3. Step 3: Cross multiply
   1,296.20x = 1,788.76 × 706.72
4. Step 4: Simplify right side
   1,296.20x = 1,264,152.47
5. Step 5: Solve for x
   x = 1,264,152.47/1,296.20
6. Step 6: Final answer
   x = 975.28