Finding the Fourth Proportional to 1,038.34, 1,434.81 and 689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.34 : 1,434.81 = 689.50 : x
2. Step 2: Convert to fraction form
   1,038.34/1,434.81 = 689.50/x
3. Step 3: Cross multiply
   1,038.34x = 1,434.81 × 689.50
4. Step 4: Simplify right side
   1,038.34x = 989,301.50
5. Step 5: Solve for x
   x = 989,301.50/1,038.34
6. Step 6: Final answer
   x = 952.77