Finding the Fourth Proportional to 10,512.81, 14,506.50 and 5,796.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,512.81 : 14,506.50 = 5,796.18 : x
2. Step 2: Convert to fraction form
   10,512.81/14,506.50 = 5,796.18/x
3. Step 3: Cross multiply
   10,512.81x = 14,506.50 × 5,796.18
4. Step 4: Simplify right side
   10,512.81x = 84,082,285.17
5. Step 5: Solve for x
   x = 84,082,285.17/10,512.81
6. Step 6: Final answer
   x = 7,998.08