Finding the Fourth Proportional to 10,378.89, 14,322.49 and 5,663.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.89 : 14,322.49 = 5,663.07 : x
2. Step 2: Convert to fraction form
   10,378.89/14,322.49 = 5,663.07/x
3. Step 3: Cross multiply
   10,378.89x = 14,322.49 × 5,663.07
4. Step 4: Simplify right side
   10,378.89x = 81,109,249.29
5. Step 5: Solve for x
   x = 81,109,249.29/10,378.89
6. Step 6: Final answer
   x = 7,814.83