Finding the Fourth Proportional to 10,378.29, 14,321.84 and 5,662.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.29 : 14,321.84 = 5,662.65 : x
2. Step 2: Convert to fraction form
   10,378.29/14,321.84 = 5,662.65/x
3. Step 3: Cross multiply
   10,378.29x = 14,321.84 × 5,662.65
4. Step 4: Simplify right side
   10,378.29x = 81,099,538.96
5. Step 5: Solve for x
   x = 81,099,538.96/10,378.29
6. Step 6: Final answer
   x = 7,814.35