Finding the Fourth Proportional to 10,832, 14,948.18 and 5,864

Step by Step Solution

1. Step 1: Write the proportion equation
   10,832 : 14,948.18 = 5,864 : x
2. Step 2: Convert to fraction form
   10,832/14,948.18 = 5,864/x
3. Step 3: Cross multiply
   10,832x = 14,948.18 × 5,864
4. Step 4: Simplify right side
   10,832x = 87,656,127.52
5. Step 5: Solve for x
   x = 87,656,127.52/10,832
6. Step 6: Final answer
   x = 8,092.33