Finding the Fourth Proportional to 7,826.90, 11,742.18 and 2,561.89

Step by Step Solution

1. Step 1: Write the proportion equation
   7,826.90 : 11,742.18 = 2,561.89 : x
2. Step 2: Convert to fraction form
   7,826.90/11,742.18 = 2,561.89/x
3. Step 3: Cross multiply
   7,826.90x = 11,742.18 × 2,561.89
4. Step 4: Simplify right side
   7,826.90x = 30,082,160.71
5. Step 5: Solve for x
   x = 30,082,160.71/7,826.90
6. Step 6: Final answer
   x = 3,843.43