Finding the Fourth Proportional to 10,378.89, 14,322.83 and 5,663.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.89 : 14,322.83 = 5,663.61 : x
2. Step 2: Convert to fraction form
   10,378.89/14,322.83 = 5,663.61/x
3. Step 3: Cross multiply
   10,378.89x = 14,322.83 × 5,663.61
4. Step 4: Simplify right side
   10,378.89x = 81,118,894.90
5. Step 5: Solve for x
   x = 81,118,894.90/10,378.89
6. Step 6: Final answer
   x = 7,815.76