Finding the Fourth Proportional to 10,384.90, 14,331.15 and 5,669.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384.90 : 14,331.15 = 5,669.18 : x
2. Step 2: Convert to fraction form
   10,384.90/14,331.15 = 5,669.18/x
3. Step 3: Cross multiply
   10,384.90x = 14,331.15 × 5,669.18
4. Step 4: Simplify right side
   10,384.90x = 81,245,846.83
5. Step 5: Solve for x
   x = 81,245,846.83/10,384.90
6. Step 6: Final answer
   x = 7,823.46