Finding the Fourth Proportional to 10,512.20, 14,506.74 and 5,796.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,512.20 : 14,506.74 = 5,796.38 : x
2. Step 2: Convert to fraction form
   10,512.20/14,506.74 = 5,796.38/x
3. Step 3: Cross multiply
   10,512.20x = 14,506.74 × 5,796.38
4. Step 4: Simplify right side
   10,512.20x = 84,086,505.07
5. Step 5: Solve for x
   x = 84,086,505.07/10,512.20
6. Step 6: Final answer
   x = 7,998.95