Finding the Fourth Proportional to 2,271.38, 3,407.75 and 1,023

Step by Step Solution

1. Step 1: Write the proportion equation
   2,271.38 : 3,407.75 = 1,023 : x
2. Step 2: Convert to fraction form
   2,271.38/3,407.75 = 1,023/x
3. Step 3: Cross multiply
   2,271.38x = 3,407.75 × 1,023
4. Step 4: Simplify right side
   2,271.38x = 3,486,123.14
5. Step 5: Solve for x
   x = 3,486,123.14/2,271.38
6. Step 6: Final answer
   x = 1,534.81