Finding the Fourth Proportional to 10,386.74, 14,333.50 and 5,671.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,386.74 : 14,333.50 = 5,671.06 : x
2. Step 2: Convert to fraction form
   10,386.74/14,333.50 = 5,671.06/x
3. Step 3: Cross multiply
   10,386.74x = 14,333.50 × 5,671.06
4. Step 4: Simplify right side
   10,386.74x = 81,286,138.51
5. Step 5: Solve for x
   x = 81,286,138.51/10,386.74
6. Step 6: Final answer
   x = 7,825.95