Finding the Fourth Proportional to 1,291.82, 1,782.72 and 702.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,291.82 : 1,782.72 = 702.38 : x
2. Step 2: Convert to fraction form
   1,291.82/1,782.72 = 702.38/x
3. Step 3: Cross multiply
   1,291.82x = 1,782.72 × 702.38
4. Step 4: Simplify right side
   1,291.82x = 1,252,146.87
5. Step 5: Solve for x
   x = 1,252,146.87/1,291.82
6. Step 6: Final answer
   x = 969.29