Finding the Fourth Proportional to 2,271.74, 3,407.50 and 711.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,271.74 : 3,407.50 = 711.72 : x
2. Step 2: Convert to fraction form
   2,271.74/3,407.50 = 711.72/x
3. Step 3: Cross multiply
   2,271.74x = 3,407.50 × 711.72
4. Step 4: Simplify right side
   2,271.74x = 2,425,185.90
5. Step 5: Solve for x
   x = 2,425,185.90/2,271.74
6. Step 6: Final answer
   x = 1,067.55