Finding the Fourth Proportional to 10,301.94, 14,216.56 and 5,825.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.94 : 14,216.56 = 5,825.74 : x
2. Step 2: Convert to fraction form
   10,301.94/14,216.56 = 5,825.74/x
3. Step 3: Cross multiply
   10,301.94x = 14,216.56 × 5,825.74
4. Step 4: Simplify right side
   10,301.94x = 82,821,982.25
5. Step 5: Solve for x
   x = 82,821,982.25/10,301.94
6. Step 6: Final answer
   x = 8,039.45