Finding the Fourth Proportional to 11,645.82, 16,076.61 and 7,401.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,645.82 : 16,076.61 = 7,401.42 : x
2. Step 2: Convert to fraction form
   11,645.82/16,076.61 = 7,401.42/x
3. Step 3: Cross multiply
   11,645.82x = 16,076.61 × 7,401.42
4. Step 4: Simplify right side
   11,645.82x = 118,989,742.79
5. Step 5: Solve for x
   x = 118,989,742.79/11,645.82
6. Step 6: Final answer
   x = 10,217.38