Finding the Fourth Proportional to 10,512.38, 14,507.13 and 5,796.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,512.38 : 14,507.13 = 5,796.56 : x
2. Step 2: Convert to fraction form
   10,512.38/14,507.13 = 5,796.56/x
3. Step 3: Cross multiply
   10,512.38x = 14,507.13 × 5,796.56
4. Step 4: Simplify right side
   10,512.38x = 84,091,376.94
5. Step 5: Solve for x
   x = 84,091,376.94/10,512.38
6. Step 6: Final answer
   x = 7,999.27