Finding the Fourth Proportional to 2,509.89, 3,763.77 and 866.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.89 : 3,763.77 = 866.19 : x
2. Step 2: Convert to fraction form
   2,509.89/3,763.77 = 866.19/x
3. Step 3: Cross multiply
   2,509.89x = 3,763.77 × 866.19
4. Step 4: Simplify right side
   2,509.89x = 3,260,150.80
5. Step 5: Solve for x
   x = 3,260,150.80/2,509.89
6. Step 6: Final answer
   x = 1,298.92