Finding the Fourth Proportional to 11,641.74, 17,465.34 and 3,850.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,641.74 : 17,465.34 = 3,850.50 : x
2. Step 2: Convert to fraction form
   11,641.74/17,465.34 = 3,850.50/x
3. Step 3: Cross multiply
   11,641.74x = 17,465.34 × 3,850.50
4. Step 4: Simplify right side
   11,641.74x = 67,250,291.67
5. Step 5: Solve for x
   x = 67,250,291.67/11,641.74
6. Step 6: Final answer
   x = 5,776.65