Finding the Fourth Proportional to 10,583.61, 14,604.62 and 5,802.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,583.61 : 14,604.62 = 5,802.79 : x
2. Step 2: Convert to fraction form
   10,583.61/14,604.62 = 5,802.79/x
3. Step 3: Cross multiply
   10,583.61x = 14,604.62 × 5,802.79
4. Step 4: Simplify right side
   10,583.61x = 84,747,542.89
5. Step 5: Solve for x
   x = 84,747,542.89/10,583.61
6. Step 6: Final answer
   x = 8,007.43