Finding the Fourth Proportional to 11,640, 17,454.06 and 3,846

Step by Step Solution

1. Step 1: Write the proportion equation
   11,640 : 17,454.06 = 3,846 : x
2. Step 2: Convert to fraction form
   11,640/17,454.06 = 3,846/x
3. Step 3: Cross multiply
   11,640x = 17,454.06 × 3,846
4. Step 4: Simplify right side
   11,640x = 67,128,314.76
5. Step 5: Solve for x
   x = 67,128,314.76/11,640
6. Step 6: Final answer
   x = 5,767.04