Finding the Fourth Proportional to 10,379.64, 14,323.84 and 5,663.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,379.64 : 14,323.84 = 5,663.93 : x
2. Step 2: Convert to fraction form
   10,379.64/14,323.84 = 5,663.93/x
3. Step 3: Cross multiply
   10,379.64x = 14,323.84 × 5,663.93
4. Step 4: Simplify right side
   10,379.64x = 81,129,141.31
5. Step 5: Solve for x
   x = 81,129,141.31/10,379.64
6. Step 6: Final answer
   x = 7,816.18