Finding the Fourth Proportional to 10,387.32, 14,334.65 and 5,671.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,387.32 : 14,334.65 = 5,671.50 : x
2. Step 2: Convert to fraction form
   10,387.32/14,334.65 = 5,671.50/x
3. Step 3: Cross multiply
   10,387.32x = 14,334.65 × 5,671.50
4. Step 4: Simplify right side
   10,387.32x = 81,298,967.48
5. Step 5: Solve for x
   x = 81,298,967.48/10,387.32
6. Step 6: Final answer
   x = 7,826.75