Finding the Fourth Proportional to 11,781.82, 16,253.50 and 10,438.80

Step by Step Solution

1. Step 1: Write the proportion equation
   11,781.82 : 16,253.50 = 10,438.80 : x
2. Step 2: Convert to fraction form
   11,781.82/16,253.50 = 10,438.80/x
3. Step 3: Cross multiply
   11,781.82x = 16,253.50 × 10,438.80
4. Step 4: Simplify right side
   11,781.82x = 169,666,983.61
5. Step 5: Solve for x
   x = 169,666,983.61/11,781.82
6. Step 6: Final answer
   x = 14,400.74