Finding the Fourth Proportional to 3,816.32, 5,265.89 and 2,559.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,816.32 : 5,265.89 = 2,559.47 : x
2. Step 2: Convert to fraction form
   3,816.32/5,265.89 = 2,559.47/x
3. Step 3: Cross multiply
   3,816.32x = 5,265.89 × 2,559.47
4. Step 4: Simplify right side
   3,816.32x = 13,477,895.18
5. Step 5: Solve for x
   x = 13,477,895.18/3,816.32
6. Step 6: Final answer
   x = 3,531.65