Finding the Fourth Proportional to 10,386.63, 14,333.49 and 5,670.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,386.63 : 14,333.49 = 5,670.96 : x
2. Step 2: Convert to fraction form
   10,386.63/14,333.49 = 5,670.96/x
3. Step 3: Cross multiply
   10,386.63x = 14,333.49 × 5,670.96
4. Step 4: Simplify right side
   10,386.63x = 81,284,648.45
5. Step 5: Solve for x
   x = 81,284,648.45/10,386.63
6. Step 6: Final answer
   x = 7,825.89