Finding the Fourth Proportional to 11,645.48, 17,462.84 and 3,746.53

Step by Step Solution

1. Step 1: Write the proportion equation
   11,645.48 : 17,462.84 = 3,746.53 : x
2. Step 2: Convert to fraction form
   11,645.48/17,462.84 = 3,746.53/x
3. Step 3: Cross multiply
   11,645.48x = 17,462.84 × 3,746.53
4. Step 4: Simplify right side
   11,645.48x = 65,424,991.56
5. Step 5: Solve for x
   x = 65,424,991.56/11,645.48
6. Step 6: Final answer
   x = 5,618.06