Finding the Fourth Proportional to 10,387.61, 14,334.81 and 5,671.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,387.61 : 14,334.81 = 5,671.88 : x
2. Step 2: Convert to fraction form
   10,387.61/14,334.81 = 5,671.88/x
3. Step 3: Cross multiply
   10,387.61x = 14,334.81 × 5,671.88
4. Step 4: Simplify right side
   10,387.61x = 81,305,250.47
5. Step 5: Solve for x
   x = 81,305,250.47/10,387.61
6. Step 6: Final answer
   x = 7,827.14