Finding the Fourth Proportional to 2,974.50, 4,460.22 and 1,026

Step by Step Solution

1. Step 1: Write the proportion equation
   2,974.50 : 4,460.22 = 1,026 : x
2. Step 2: Convert to fraction form
   2,974.50/4,460.22 = 1,026/x
3. Step 3: Cross multiply
   2,974.50x = 4,460.22 × 1,026
4. Step 4: Simplify right side
   2,974.50x = 4,576,185.72
5. Step 5: Solve for x
   x = 4,576,185.72/2,974.50
6. Step 6: Final answer
   x = 1,538.47