Finding the Fourth Proportional to 11,642.49, 17,464.86 and 3,743.01

Step by Step Solution

1. Step 1: Write the proportion equation
   11,642.49 : 17,464.86 = 3,743.01 : x
2. Step 2: Convert to fraction form
   11,642.49/17,464.86 = 3,743.01/x
3. Step 3: Cross multiply
   11,642.49x = 17,464.86 × 3,743.01
4. Step 4: Simplify right side
   11,642.49x = 65,371,145.63
5. Step 5: Solve for x
   x = 65,371,145.63/11,642.49
6. Step 6: Final answer
   x = 5,614.88