Finding the Fourth Proportional to 2,579.76, 3,866.16 and 1,406.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,579.76 : 3,866.16 = 1,406.88 : x
2. Step 2: Convert to fraction form
   2,579.76/3,866.16 = 1,406.88/x
3. Step 3: Cross multiply
   2,579.76x = 3,866.16 × 1,406.88
4. Step 4: Simplify right side
   2,579.76x = 5,439,223.18
5. Step 5: Solve for x
   x = 5,439,223.18/2,579.76
6. Step 6: Final answer
   x = 2,108.42