Finding the Fourth Proportional to 3,463.98, 5,200.57 and 1,616.39

Step by Step Solution

1. Step 1: Write the proportion equation
   3,463.98 : 5,200.57 = 1,616.39 : x
2. Step 2: Convert to fraction form
   3,463.98/5,200.57 = 1,616.39/x
3. Step 3: Cross multiply
   3,463.98x = 5,200.57 × 1,616.39
4. Step 4: Simplify right side
   3,463.98x = 8,406,123.34
5. Step 5: Solve for x
   x = 8,406,123.34/3,463.98
6. Step 6: Final answer
   x = 2,426.72