Finding the Fourth Proportional to 2,602.16, 3,884.37 and 2,409.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,602.16 : 3,884.37 = 2,409.46 : x
2. Step 2: Convert to fraction form
   2,602.16/3,884.37 = 2,409.46/x
3. Step 3: Cross multiply
   2,602.16x = 3,884.37 × 2,409.46
4. Step 4: Simplify right side
   2,602.16x = 9,359,234.14
5. Step 5: Solve for x
   x = 9,359,234.14/2,602.16
6. Step 6: Final answer
   x = 3,596.72