Finding the Fourth Proportional to 2,541.60, 3,813.30 and 1,566.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,541.60 : 3,813.30 = 1,566.56 : x
2. Step 2: Convert to fraction form
   2,541.60/3,813.30 = 1,566.56/x
3. Step 3: Cross multiply
   2,541.60x = 3,813.30 × 1,566.56
4. Step 4: Simplify right side
   2,541.60x = 5,973,763.25
5. Step 5: Solve for x
   x = 5,973,763.25/2,541.60
6. Step 6: Final answer
   x = 2,350.39