Finding the Fourth Proportional to 10,386.86, 14,333.86 and 5,671.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,386.86 : 14,333.86 = 5,671.14 : x
2. Step 2: Convert to fraction form
   10,386.86/14,333.86 = 5,671.14/x
3. Step 3: Cross multiply
   10,386.86x = 14,333.86 × 5,671.14
4. Step 4: Simplify right side
   10,386.86x = 81,289,326.80
5. Step 5: Solve for x
   x = 81,289,326.80/10,386.86
6. Step 6: Final answer
   x = 7,826.17