Finding the Fourth Proportional to 2,538.72, 3,808.35 and 689.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.72 : 3,808.35 = 689.76 : x
2. Step 2: Convert to fraction form
   2,538.72/3,808.35 = 689.76/x
3. Step 3: Cross multiply
   2,538.72x = 3,808.35 × 689.76
4. Step 4: Simplify right side
   2,538.72x = 2,626,847.50
5. Step 5: Solve for x
   x = 2,626,847.50/2,538.72
6. Step 6: Final answer
   x = 1,034.71