Finding the Fourth Proportional to 5,002.16, 7,484.75 and 4,116.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,002.16 : 7,484.75 = 4,116.42 : x
2. Step 2: Convert to fraction form
   5,002.16/7,484.75 = 4,116.42/x
3. Step 3: Cross multiply
   5,002.16x = 7,484.75 × 4,116.42
4. Step 4: Simplify right side
   5,002.16x = 30,810,392.60
5. Step 5: Solve for x
   x = 30,810,392.60/5,002.16
6. Step 6: Final answer
   x = 6,159.42