Finding the Fourth Proportional to 10,160.67, 14,021.40 and 5,684.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,160.67 : 14,021.40 = 5,684.79 : x
2. Step 2: Convert to fraction form
   10,160.67/14,021.40 = 5,684.79/x
3. Step 3: Cross multiply
   10,160.67x = 14,021.40 × 5,684.79
4. Step 4: Simplify right side
   10,160.67x = 79,708,714.51
5. Step 5: Solve for x
   x = 79,708,714.51/10,160.67
6. Step 6: Final answer
   x = 7,844.83