Finding the Fourth Proportional to 13,002.78, 19,502.94 and 3,643.65

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002.78 : 19,502.94 = 3,643.65 : x
2. Step 2: Convert to fraction form
   13,002.78/19,502.94 = 3,643.65/x
3. Step 3: Cross multiply
   13,002.78x = 19,502.94 × 3,643.65
4. Step 4: Simplify right side
   13,002.78x = 71,061,887.33
5. Step 5: Solve for x
   x = 71,061,887.33/13,002.78
6. Step 6: Final answer
   x = 5,465.13