Finding the Fourth Proportional to 4,214.16, 5,816.20 and 3,004.72

Step by Step Solution

1. Step 1: Write the proportion equation
   4,214.16 : 5,816.20 = 3,004.72 : x
2. Step 2: Convert to fraction form
   4,214.16/5,816.20 = 3,004.72/x
3. Step 3: Cross multiply
   4,214.16x = 5,816.20 × 3,004.72
4. Step 4: Simplify right side
   4,214.16x = 17,476,052.46
5. Step 5: Solve for x
   x = 17,476,052.46/4,214.16
6. Step 6: Final answer
   x = 4,146.98