Finding the Fourth Proportional to 1,777.72, 2,454.42 and 1,406.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,777.72 : 2,454.42 = 1,406.20 : x
2. Step 2: Convert to fraction form
   1,777.72/2,454.42 = 1,406.20/x
3. Step 3: Cross multiply
   1,777.72x = 2,454.42 × 1,406.20
4. Step 4: Simplify right side
   1,777.72x = 3,451,405.40
5. Step 5: Solve for x
   x = 3,451,405.40/1,777.72
6. Step 6: Final answer
   x = 1,941.48