Finding the Fourth Proportional to 1,296.29, 1,788.89 and 706.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,296.29 : 1,788.89 = 706.82 : x
2. Step 2: Convert to fraction form
   1,296.29/1,788.89 = 706.82/x
3. Step 3: Cross multiply
   1,296.29x = 1,788.89 × 706.82
4. Step 4: Simplify right side
   1,296.29x = 1,264,410.75
5. Step 5: Solve for x
   x = 1,264,410.75/1,296.29
6. Step 6: Final answer
   x = 975.41