Finding the Fourth Proportional to 10,842.02, 16,262.94 and 5,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,842.02 : 16,262.94 = 5,578.50 : x
2. Step 2: Convert to fraction form
   10,842.02/16,262.94 = 5,578.50/x
3. Step 3: Cross multiply
   10,842.02x = 16,262.94 × 5,578.50
4. Step 4: Simplify right side
   10,842.02x = 90,722,810.79
5. Step 5: Solve for x
   x = 90,722,810.79/10,842.02
6. Step 6: Final answer
   x = 8,367.70