Finding the Fourth Proportional to 1,025.07, 1,414.59 and 582.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.07 : 1,414.59 = 582.96 : x
2. Step 2: Convert to fraction form
   1,025.07/1,414.59 = 582.96/x
3. Step 3: Cross multiply
   1,025.07x = 1,414.59 × 582.96
4. Step 4: Simplify right side
   1,025.07x = 824,649.39
5. Step 5: Solve for x
   x = 824,649.39/1,025.07
6. Step 6: Final answer
   x = 804.48