Finding the Fourth Proportional to 1,047.86, 1,446.17 and 582.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,047.86 : 1,446.17 = 582.14 : x
2. Step 2: Convert to fraction form
   1,047.86/1,446.17 = 582.14/x
3. Step 3: Cross multiply
   1,047.86x = 1,446.17 × 582.14
4. Step 4: Simplify right side
   1,047.86x = 841,873.40
5. Step 5: Solve for x
   x = 841,873.40/1,047.86
6. Step 6: Final answer
   x = 803.42