Finding the Fourth Proportional to 2,564.01, 3,851.78 and 1,409.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.01 : 3,851.78 = 1,409.13 : x
2. Step 2: Convert to fraction form
   2,564.01/3,851.78 = 1,409.13/x
3. Step 3: Cross multiply
   2,564.01x = 3,851.78 × 1,409.13
4. Step 4: Simplify right side
   2,564.01x = 5,427,651.71
5. Step 5: Solve for x
   x = 5,427,651.71/2,564.01
6. Step 6: Final answer
   x = 2,116.86