Finding the Fourth Proportional to 1,456.10, 2,184.27 and 762.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.10 : 2,184.27 = 762.28 : x
2. Step 2: Convert to fraction form
   1,456.10/2,184.27 = 762.28/x
3. Step 3: Cross multiply
   1,456.10x = 2,184.27 × 762.28
4. Step 4: Simplify right side
   1,456.10x = 1,665,025.34
5. Step 5: Solve for x
   x = 1,665,025.34/1,456.10
6. Step 6: Final answer
   x = 1,143.48