Finding the Fourth Proportional to 2,566.16, 3,845.96 and 1,410.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.16 : 3,845.96 = 1,410.56 : x
2. Step 2: Convert to fraction form
   2,566.16/3,845.96 = 1,410.56/x
3. Step 3: Cross multiply
   2,566.16x = 3,845.96 × 1,410.56
4. Step 4: Simplify right side
   2,566.16x = 5,424,957.34
5. Step 5: Solve for x
   x = 5,424,957.34/2,566.16
6. Step 6: Final answer
   x = 2,114.04