Finding the Fourth Proportional to 2,974.50, 4,462.02 and 1,026.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,974.50 : 4,462.02 = 1,026.72 : x
2. Step 2: Convert to fraction form
   2,974.50/4,462.02 = 1,026.72/x
3. Step 3: Cross multiply
   2,974.50x = 4,462.02 × 1,026.72
4. Step 4: Simplify right side
   2,974.50x = 4,581,245.17
5. Step 5: Solve for x
   x = 4,581,245.17/2,974.50
6. Step 6: Final answer
   x = 1,540.17