Finding the Fourth Proportional to 1,025.86, 1,415.69 and 583.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.86 : 1,415.69 = 583.76 : x
2. Step 2: Convert to fraction form
   1,025.86/1,415.69 = 583.76/x
3. Step 3: Cross multiply
   1,025.86x = 1,415.69 × 583.76
4. Step 4: Simplify right side
   1,025.86x = 826,423.81
5. Step 5: Solve for x
   x = 826,423.81/1,025.86
6. Step 6: Final answer
   x = 805.59