Finding the Fourth Proportional to 11,645, 17,468.64 and 3,745.52

Step by Step Solution

1. Step 1: Write the proportion equation
   11,645 : 17,468.64 = 3,745.52 : x
2. Step 2: Convert to fraction form
   11,645/17,468.64 = 3,745.52/x
3. Step 3: Cross multiply
   11,645x = 17,468.64 × 3,745.52
4. Step 4: Simplify right side
   11,645x = 65,429,140.49
5. Step 5: Solve for x
   x = 65,429,140.49/11,645
6. Step 6: Final answer
   x = 5,618.65