Finding the Fourth Proportional to 10,381.86, 14,327.55 and 5,666.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.86 : 14,327.55 = 5,666.22 : x
2. Step 2: Convert to fraction form
   10,381.86/14,327.55 = 5,666.22/x
3. Step 3: Cross multiply
   10,381.86x = 14,327.55 × 5,666.22
4. Step 4: Simplify right side
   10,381.86x = 81,183,050.36
5. Step 5: Solve for x
   x = 81,183,050.36/10,381.86
6. Step 6: Final answer
   x = 7,819.70