Finding the Fourth Proportional to 1,111.71, 1,533.17 and 758.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.71 : 1,533.17 = 758.20 : x
2. Step 2: Convert to fraction form
   1,111.71/1,533.17 = 758.20/x
3. Step 3: Cross multiply
   1,111.71x = 1,533.17 × 758.20
4. Step 4: Simplify right side
   1,111.71x = 1,162,452.61
5. Step 5: Solve for x
   x = 1,162,452.61/1,111.71
6. Step 6: Final answer
   x = 1,045.65