Finding the Fourth Proportional to 10,379.58, 14,323.86 and 5,663.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,379.58 : 14,323.86 = 5,663.94 : x
2. Step 2: Convert to fraction form
   10,379.58/14,323.86 = 5,663.94/x
3. Step 3: Cross multiply
   10,379.58x = 14,323.86 × 5,663.94
4. Step 4: Simplify right side
   10,379.58x = 81,129,483.61
5. Step 5: Solve for x
   x = 81,129,483.61/10,379.58
6. Step 6: Final answer
   x = 7,816.26