Finding the Fourth Proportional to 10,160.86, 14,021.33 and 5,683.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,160.86 : 14,021.33 = 5,683.84 : x
2. Step 2: Convert to fraction form
   10,160.86/14,021.33 = 5,683.84/x
3. Step 3: Cross multiply
   10,160.86x = 14,021.33 × 5,683.84
4. Step 4: Simplify right side
   10,160.86x = 79,694,996.31
5. Step 5: Solve for x
   x = 79,694,996.31/10,160.86
6. Step 6: Final answer
   x = 7,843.33