Finding the Fourth Proportional to 10,277.46, 14,182.02 and 5,801.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,277.46 : 14,182.02 = 5,801.40 : x
2. Step 2: Convert to fraction form
   10,277.46/14,182.02 = 5,801.40/x
3. Step 3: Cross multiply
   10,277.46x = 14,182.02 × 5,801.40
4. Step 4: Simplify right side
   10,277.46x = 82,275,570.83
5. Step 5: Solve for x
   x = 82,275,570.83/10,277.46
6. Step 6: Final answer
   x = 8,005.44