Finding the Fourth Proportional to 10,583, 14,604.54 and 5,867.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,583 : 14,604.54 = 5,867.59 : x
2. Step 2: Convert to fraction form
   10,583/14,604.54 = 5,867.59/x
3. Step 3: Cross multiply
   10,583x = 14,604.54 × 5,867.59
4. Step 4: Simplify right side
   10,583x = 85,693,452.86
5. Step 5: Solve for x
   x = 85,693,452.86/10,583
6. Step 6: Final answer
   x = 8,097.27