Finding the Fourth Proportional to 10,379.34, 14,323.53 and 5,663.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,379.34 : 14,323.53 = 5,663.72 : x
2. Step 2: Convert to fraction form
   10,379.34/14,323.53 = 5,663.72/x
3. Step 3: Cross multiply
   10,379.34x = 14,323.53 × 5,663.72
4. Step 4: Simplify right side
   10,379.34x = 81,124,520.38
5. Step 5: Solve for x
   x = 81,124,520.38/10,379.34
6. Step 6: Final answer
   x = 7,815.96