Finding the Fourth Proportional to 11,644.63, 17,465.25 and 3,746.12

Step by Step Solution

1. Step 1: Write the proportion equation
   11,644.63 : 17,465.25 = 3,746.12 : x
2. Step 2: Convert to fraction form
   11,644.63/17,465.25 = 3,746.12/x
3. Step 3: Cross multiply
   11,644.63x = 17,465.25 × 3,746.12
4. Step 4: Simplify right side
   11,644.63x = 65,426,849.05
5. Step 5: Solve for x
   x = 65,426,849.05/11,644.63
6. Step 6: Final answer
   x = 5,618.63