Finding the Fourth Proportional to 10,582.31, 14,598.89 and 6,804.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.31 : 14,598.89 = 6,804.78 : x
2. Step 2: Convert to fraction form
   10,582.31/14,598.89 = 6,804.78/x
3. Step 3: Cross multiply
   10,582.31x = 14,598.89 × 6,804.78
4. Step 4: Simplify right side
   10,582.31x = 99,342,200.67
5. Step 5: Solve for x
   x = 99,342,200.67/10,582.31
6. Step 6: Final answer
   x = 9,387.58