Finding the Fourth Proportional to 13,005.38, 19,507.61 and 3,645.32

Step by Step Solution

1. Step 1: Write the proportion equation
   13,005.38 : 19,507.61 = 3,645.32 : x
2. Step 2: Convert to fraction form
   13,005.38/19,507.61 = 3,645.32/x
3. Step 3: Cross multiply
   13,005.38x = 19,507.61 × 3,645.32
4. Step 4: Simplify right side
   13,005.38x = 71,111,413.89
5. Step 5: Solve for x
   x = 71,111,413.89/13,005.38
6. Step 6: Final answer
   x = 5,467.85