Finding the Fourth Proportional to 11,758.16, 17,634.51 and 3,966.98

Step by Step Solution

1. Step 1: Write the proportion equation
   11,758.16 : 17,634.51 = 3,966.98 : x
2. Step 2: Convert to fraction form
   11,758.16/17,634.51 = 3,966.98/x
3. Step 3: Cross multiply
   11,758.16x = 17,634.51 × 3,966.98
4. Step 4: Simplify right side
   11,758.16x = 69,955,660.31
5. Step 5: Solve for x
   x = 69,955,660.31/11,758.16
6. Step 6: Final answer
   x = 5,949.54