Finding the Fourth Proportional to 10,378.59, 14,322.54 and 5,662.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.59 : 14,322.54 = 5,662.95 : x
2. Step 2: Convert to fraction form
   10,378.59/14,322.54 = 5,662.95/x
3. Step 3: Cross multiply
   10,378.59x = 14,322.54 × 5,662.95
4. Step 4: Simplify right side
   10,378.59x = 81,107,827.89
5. Step 5: Solve for x
   x = 81,107,827.89/10,378.59
6. Step 6: Final answer
   x = 7,814.92