Finding the Fourth Proportional to 1,025.01, 1,414.55 and 582.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.01 : 1,414.55 = 582.98 : x
2. Step 2: Convert to fraction form
   1,025.01/1,414.55 = 582.98/x
3. Step 3: Cross multiply
   1,025.01x = 1,414.55 × 582.98
4. Step 4: Simplify right side
   1,025.01x = 824,644.37
5. Step 5: Solve for x
   x = 824,644.37/1,025.01
6. Step 6: Final answer
   x = 804.52