Finding the Fourth Proportional to 3,002.16, 4,142.70 and 1,823.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,002.16 : 4,142.70 = 1,823.61 : x
2. Step 2: Convert to fraction form
   3,002.16/4,142.70 = 1,823.61/x
3. Step 3: Cross multiply
   3,002.16x = 4,142.70 × 1,823.61
4. Step 4: Simplify right side
   3,002.16x = 7,554,669.15
5. Step 5: Solve for x
   x = 7,554,669.15/3,002.16
6. Step 6: Final answer
   x = 2,516.41