Finding the Fourth Proportional to 10,512.56, 14,507.32 and 5,796.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,512.56 : 14,507.32 = 5,796.85 : x
2. Step 2: Convert to fraction form
   10,512.56/14,507.32 = 5,796.85/x
3. Step 3: Cross multiply
   10,512.56x = 14,507.32 × 5,796.85
4. Step 4: Simplify right side
   10,512.56x = 84,096,757.94
5. Step 5: Solve for x
   x = 84,096,757.94/10,512.56
6. Step 6: Final answer
   x = 7,999.65