Finding the Fourth Proportional to 10,387.40, 14,334.66 and 5,671.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,387.40 : 14,334.66 = 5,671.78 : x
2. Step 2: Convert to fraction form
   10,387.40/14,334.66 = 5,671.78/x
3. Step 3: Cross multiply
   10,387.40x = 14,334.66 × 5,671.78
4. Step 4: Simplify right side
   10,387.40x = 81,303,037.89
5. Step 5: Solve for x
   x = 81,303,037.89/10,387.40
6. Step 6: Final answer
   x = 7,827.08