Finding the Fourth Proportional to 10,278.23, 14,182.86 and 5,801.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,278.23 : 14,182.86 = 5,801.69 : x
2. Step 2: Convert to fraction form
   10,278.23/14,182.86 = 5,801.69/x
3. Step 3: Cross multiply
   10,278.23x = 14,182.86 × 5,801.69
4. Step 4: Simplify right side
   10,278.23x = 82,284,614.25
5. Step 5: Solve for x
   x = 82,284,614.25/10,278.23
6. Step 6: Final answer
   x = 8,005.72