Finding the Fourth Proportional to 10,276.96, 14,182.20 and 5,801.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,276.96 : 14,182.20 = 5,801.64 : x
2. Step 2: Convert to fraction form
   10,276.96/14,182.20 = 5,801.64/x
3. Step 3: Cross multiply
   10,276.96x = 14,182.20 × 5,801.64
4. Step 4: Simplify right side
   10,276.96x = 82,280,018.81
5. Step 5: Solve for x
   x = 82,280,018.81/10,276.96
6. Step 6: Final answer
   x = 8,006.26