Finding the Fourth Proportional to 10,512, 14,506.56 and 5,796.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,512 : 14,506.56 = 5,796.32 : x
2. Step 2: Convert to fraction form
   10,512/14,506.56 = 5,796.32/x
3. Step 3: Cross multiply
   10,512x = 14,506.56 × 5,796.32
4. Step 4: Simplify right side
   10,512x = 84,084,591.33
5. Step 5: Solve for x
   x = 84,084,591.33/10,512
6. Step 6: Final answer
   x = 7,998.91