Finding the Fourth Proportional to 10,832.10, 14,948.34 and 5,864.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,832.10 : 14,948.34 = 5,864.10 : x
2. Step 2: Convert to fraction form
   10,832.10/14,948.34 = 5,864.10/x
3. Step 3: Cross multiply
   10,832.10x = 14,948.34 × 5,864.10
4. Step 4: Simplify right side
   10,832.10x = 87,658,531.27
5. Step 5: Solve for x
   x = 87,658,531.27/10,832.10
6. Step 6: Final answer
   x = 8,092.48