Finding the Fourth Proportional to 10,160.31, 14,019.71 and 5,967.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,160.31 : 14,019.71 = 5,967.75 : x
2. Step 2: Convert to fraction form
   10,160.31/14,019.71 = 5,967.75/x
3. Step 3: Cross multiply
   10,160.31x = 14,019.71 × 5,967.75
4. Step 4: Simplify right side
   10,160.31x = 83,666,094.51
5. Step 5: Solve for x
   x = 83,666,094.51/10,160.31
6. Step 6: Final answer
   x = 8,234.60