Finding the Fourth Proportional to 11,644.56, 17,462.74 and 3,746.76

Step by Step Solution

1. Step 1: Write the proportion equation
   11,644.56 : 17,462.74 = 3,746.76 : x
2. Step 2: Convert to fraction form
   11,644.56/17,462.74 = 3,746.76/x
3. Step 3: Cross multiply
   11,644.56x = 17,462.74 × 3,746.76
4. Step 4: Simplify right side
   11,644.56x = 65,428,627.90
5. Step 5: Solve for x
   x = 65,428,627.90/11,644.56
6. Step 6: Final answer
   x = 5,618.81