Finding the Fourth Proportional to 1,025.14, 1,414.72 and 583.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.14 : 1,414.72 = 583.04 : x
2. Step 2: Convert to fraction form
   1,025.14/1,414.72 = 583.04/x
3. Step 3: Cross multiply
   1,025.14x = 1,414.72 × 583.04
4. Step 4: Simplify right side
   1,025.14x = 824,838.35
5. Step 5: Solve for x
   x = 824,838.35/1,025.14
6. Step 6: Final answer
   x = 804.61