Finding the Fourth Proportional to 10,648.96, 14,695.68 and 5,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648.96 : 14,695.68 = 5,933.50 : x
2. Step 2: Convert to fraction form
   10,648.96/14,695.68 = 5,933.50/x
3. Step 3: Cross multiply
   10,648.96x = 14,695.68 × 5,933.50
4. Step 4: Simplify right side
   10,648.96x = 87,196,817.28
5. Step 5: Solve for x
   x = 87,196,817.28/10,648.96
6. Step 6: Final answer
   x = 8,188.29