Finding the Fourth Proportional to 11,746.82, 17,623.07 and 3,849.93

Step by Step Solution

1. Step 1: Write the proportion equation
   11,746.82 : 17,623.07 = 3,849.93 : x
2. Step 2: Convert to fraction form
   11,746.82/17,623.07 = 3,849.93/x
3. Step 3: Cross multiply
   11,746.82x = 17,623.07 × 3,849.93
4. Step 4: Simplify right side
   11,746.82x = 67,847,581.07
5. Step 5: Solve for x
   x = 67,847,581.07/11,746.82
6. Step 6: Final answer
   x = 5,775.82