Finding the Fourth Proportional to 10,384.92, 14,331.46 and 5,669.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384.92 : 14,331.46 = 5,669.30 : x
2. Step 2: Convert to fraction form
   10,384.92/14,331.46 = 5,669.30/x
3. Step 3: Cross multiply
   10,384.92x = 14,331.46 × 5,669.30
4. Step 4: Simplify right side
   10,384.92x = 81,249,346.18
5. Step 5: Solve for x
   x = 81,249,346.18/10,384.92
6. Step 6: Final answer
   x = 7,823.78