Finding the Fourth Proportional to 10,832.50, 14,948.85 and 5,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,832.50 : 14,948.85 = 5,864.50 : x
2. Step 2: Convert to fraction form
   10,832.50/14,948.85 = 5,864.50/x
3. Step 3: Cross multiply
   10,832.50x = 14,948.85 × 5,864.50
4. Step 4: Simplify right side
   10,832.50x = 87,667,530.83
5. Step 5: Solve for x
   x = 87,667,530.83/10,832.50
6. Step 6: Final answer
   x = 8,093.01