Finding the Fourth Proportional to 1,535.34, 2,301.12 and 1,126.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.34 : 2,301.12 = 1,126.20 : x
2. Step 2: Convert to fraction form
   1,535.34/2,301.12 = 1,126.20/x
3. Step 3: Cross multiply
   1,535.34x = 2,301.12 × 1,126.20
4. Step 4: Simplify right side
   1,535.34x = 2,591,521.34
5. Step 5: Solve for x
   x = 2,591,521.34/1,535.34
6. Step 6: Final answer
   x = 1,687.91