Finding the Fourth Proportional to 11,966.50, 17,950.47 and 3,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,966.50 : 17,950.47 = 3,758.50 : x
2. Step 2: Convert to fraction form
   11,966.50/17,950.47 = 3,758.50/x
3. Step 3: Cross multiply
   11,966.50x = 17,950.47 × 3,758.50
4. Step 4: Simplify right side
   11,966.50x = 67,466,841.50
5. Step 5: Solve for x
   x = 67,466,841.50/11,966.50
6. Step 6: Final answer
   x = 5,637.98