Finding the Fourth Proportional to 13,004.16, 19,502.76 and 3,643.62

Step by Step Solution

1. Step 1: Write the proportion equation
   13,004.16 : 19,502.76 = 3,643.62 : x
2. Step 2: Convert to fraction form
   13,004.16/19,502.76 = 3,643.62/x
3. Step 3: Cross multiply
   13,004.16x = 19,502.76 × 3,643.62
4. Step 4: Simplify right side
   13,004.16x = 71,060,646.39
5. Step 5: Solve for x
   x = 71,060,646.39/13,004.16
6. Step 6: Final answer
   x = 5,464.45