Finding the Fourth Proportional to 10,648.09, 14,694.10 and 5,932.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648.09 : 14,694.10 = 5,932.27 : x
2. Step 2: Convert to fraction form
   10,648.09/14,694.10 = 5,932.27/x
3. Step 3: Cross multiply
   10,648.09x = 14,694.10 × 5,932.27
4. Step 4: Simplify right side
   10,648.09x = 87,169,368.61
5. Step 5: Solve for x
   x = 87,169,368.61/10,648.09
6. Step 6: Final answer
   x = 8,186.39