Finding the Fourth Proportional to 11,642, 17,466.20 and 3,434

Step by Step Solution

1. Step 1: Write the proportion equation
   11,642 : 17,466.20 = 3,434 : x
2. Step 2: Convert to fraction form
   11,642/17,466.20 = 3,434/x
3. Step 3: Cross multiply
   11,642x = 17,466.20 × 3,434
4. Step 4: Simplify right side
   11,642x = 59,978,930.80
5. Step 5: Solve for x
   x = 59,978,930.80/11,642
6. Step 6: Final answer
   x = 5,151.94