Finding the Fourth Proportional to 10,384.74, 14,331.06 and 5,669.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384.74 : 14,331.06 = 5,669.10 : x
2. Step 2: Convert to fraction form
   10,384.74/14,331.06 = 5,669.10/x
3. Step 3: Cross multiply
   10,384.74x = 14,331.06 × 5,669.10
4. Step 4: Simplify right side
   10,384.74x = 81,244,212.25
5. Step 5: Solve for x
   x = 81,244,212.25/10,384.74
6. Step 6: Final answer
   x = 7,823.42