Finding the Fourth Proportional to 10,512.64, 14,507.47 and 5,796.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,512.64 : 14,507.47 = 5,796.96 : x
2. Step 2: Convert to fraction form
   10,512.64/14,507.47 = 5,796.96/x
3. Step 3: Cross multiply
   10,512.64x = 14,507.47 × 5,796.96
4. Step 4: Simplify right side
   10,512.64x = 84,099,223.29
5. Step 5: Solve for x
   x = 84,099,223.29/10,512.64
6. Step 6: Final answer
   x = 7,999.82