Finding the Fourth Proportional to 5,259.57, 7,886.59 and 1,561.29

Step by Step Solution

1. Step 1: Write the proportion equation
   5,259.57 : 7,886.59 = 1,561.29 : x
2. Step 2: Convert to fraction form
   5,259.57/7,886.59 = 1,561.29/x
3. Step 3: Cross multiply
   5,259.57x = 7,886.59 × 1,561.29
4. Step 4: Simplify right side
   5,259.57x = 12,313,254.10
5. Step 5: Solve for x
   x = 12,313,254.10/5,259.57
6. Step 6: Final answer
   x = 2,341.11