Finding the Fourth Proportional to 1,233.80, 1,702.82 and 709.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.80 : 1,702.82 = 709.82 : x
2. Step 2: Convert to fraction form
   1,233.80/1,702.82 = 709.82/x
3. Step 3: Cross multiply
   1,233.80x = 1,702.82 × 709.82
4. Step 4: Simplify right side
   1,233.80x = 1,208,695.69
5. Step 5: Solve for x
   x = 1,208,695.69/1,233.80
6. Step 6: Final answer
   x = 979.65