Finding the Fourth Proportional to 2,538.15, 3,806.76 and 689.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.15 : 3,806.76 = 689.01 : x
2. Step 2: Convert to fraction form
   2,538.15/3,806.76 = 689.01/x
3. Step 3: Cross multiply
   2,538.15x = 3,806.76 × 689.01
4. Step 4: Simplify right side
   2,538.15x = 2,622,895.71
5. Step 5: Solve for x
   x = 2,622,895.71/2,538.15
6. Step 6: Final answer
   x = 1,033.39