Finding the Fourth Proportional to 1,001.43, 1,381.96 and 582.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,001.43 : 1,381.96 = 582.02 : x
2. Step 2: Convert to fraction form
   1,001.43/1,381.96 = 582.02/x
3. Step 3: Cross multiply
   1,001.43x = 1,381.96 × 582.02
4. Step 4: Simplify right side
   1,001.43x = 804,333.27
5. Step 5: Solve for x
   x = 804,333.27/1,001.43
6. Step 6: Final answer
   x = 803.18