Finding the Fourth Proportional to 11,650.64, 17,477.78 and 3,857.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,650.64 : 17,477.78 = 3,857.63 : x
2. Step 2: Convert to fraction form
   11,650.64/17,477.78 = 3,857.63/x
3. Step 3: Cross multiply
   11,650.64x = 17,477.78 × 3,857.63
4. Step 4: Simplify right side
   11,650.64x = 67,422,701.78
5. Step 5: Solve for x
   x = 67,422,701.78/11,650.64
6. Step 6: Final answer
   x = 5,787.04