Finding the Fourth Proportional to 2,561.20, 3,841.32 and 1,534

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.20 : 3,841.32 = 1,534 : x
2. Step 2: Convert to fraction form
   2,561.20/3,841.32 = 1,534/x
3. Step 3: Cross multiply
   2,561.20x = 3,841.32 × 1,534
4. Step 4: Simplify right side
   2,561.20x = 5,892,584.88
5. Step 5: Solve for x
   x = 5,892,584.88/2,561.20
6. Step 6: Final answer
   x = 2,300.71