Finding the Fourth Proportional to 2,577.16, 3,861.96 and 1,406.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.16 : 3,861.96 = 1,406.98 : x
2. Step 2: Convert to fraction form
   2,577.16/3,861.96 = 1,406.98/x
3. Step 3: Cross multiply
   2,577.16x = 3,861.96 × 1,406.98
4. Step 4: Simplify right side
   2,577.16x = 5,433,700.48
5. Step 5: Solve for x
   x = 5,433,700.48/2,577.16
6. Step 6: Final answer
   x = 2,108.41