Finding the Fourth Proportional to 10,844.50, 14,965.50 and 5,876.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,844.50 : 14,965.50 = 5,876.50 : x
2. Step 2: Convert to fraction form
   10,844.50/14,965.50 = 5,876.50/x
3. Step 3: Cross multiply
   10,844.50x = 14,965.50 × 5,876.50
4. Step 4: Simplify right side
   10,844.50x = 87,944,760.75
5. Step 5: Solve for x
   x = 87,944,760.75/10,844.50
6. Step 6: Final answer
   x = 8,109.62