Finding the Fourth Proportional to 13,002.59, 19,502.64 and 3,643.45

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002.59 : 19,502.64 = 3,643.45 : x
2. Step 2: Convert to fraction form
   13,002.59/19,502.64 = 3,643.45/x
3. Step 3: Cross multiply
   13,002.59x = 19,502.64 × 3,643.45
4. Step 4: Simplify right side
   13,002.59x = 71,056,844.95
5. Step 5: Solve for x
   x = 71,056,844.95/13,002.59
6. Step 6: Final answer
   x = 5,464.82