Finding the Fourth Proportional to 1,382.24, 2,071.86 and 689.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.24 : 2,071.86 = 689.42 : x
2. Step 2: Convert to fraction form
   1,382.24/2,071.86 = 689.42/x
3. Step 3: Cross multiply
   1,382.24x = 2,071.86 × 689.42
4. Step 4: Simplify right side
   1,382.24x = 1,428,381.72
5. Step 5: Solve for x
   x = 1,428,381.72/1,382.24
6. Step 6: Final answer
   x = 1,033.38