Finding the Fourth Proportional to 10,582.86, 14,604.30 and 5,802.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.86 : 14,604.30 = 5,802.78 : x
2. Step 2: Convert to fraction form
   10,582.86/14,604.30 = 5,802.78/x
3. Step 3: Cross multiply
   10,582.86x = 14,604.30 × 5,802.78
4. Step 4: Simplify right side
   10,582.86x = 84,745,539.95
5. Step 5: Solve for x
   x = 84,745,539.95/10,582.86
6. Step 6: Final answer
   x = 8,007.81