Finding the Fourth Proportional to 1,510.50, 2,266.35 and 689.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,510.50 : 2,266.35 = 689.16 : x
2. Step 2: Convert to fraction form
   1,510.50/2,266.35 = 689.16/x
3. Step 3: Cross multiply
   1,510.50x = 2,266.35 × 689.16
4. Step 4: Simplify right side
   1,510.50x = 1,561,877.77
5. Step 5: Solve for x
   x = 1,561,877.77/1,510.50
6. Step 6: Final answer
   x = 1,034.01