Finding the Fourth Proportional to 10,333.02, 14,259.46 and 5,617.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,333.02 : 14,259.46 = 5,617.27 : x
2. Step 2: Convert to fraction form
   10,333.02/14,259.46 = 5,617.27/x
3. Step 3: Cross multiply
   10,333.02x = 14,259.46 × 5,617.27
4. Step 4: Simplify right side
   10,333.02x = 80,099,236.87
5. Step 5: Solve for x
   x = 80,099,236.87/10,333.02
6. Step 6: Final answer
   x = 7,751.77