Finding the Fourth Proportional to 2,561.00, 3,841.74 and 686.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.00 : 3,841.74 = 686.86 : x
2. Step 2: Convert to fraction form
   2,561.00/3,841.74 = 686.86/x
3. Step 3: Cross multiply
   2,561.00x = 3,841.74 × 686.86
4. Step 4: Simplify right side
   2,561.00x = 2,638,727.93
5. Step 5: Solve for x
   x = 2,638,727.93/2,561.00
6. Step 6: Final answer
   x = 1,030.35