Finding the Fourth Proportional to 5,538.27, 7,642.42 and 3,116

Step by Step Solution

1. Step 1: Write the proportion equation
   5,538.27 : 7,642.42 = 3,116 : x
2. Step 2: Convert to fraction form
   5,538.27/7,642.42 = 3,116/x
3. Step 3: Cross multiply
   5,538.27x = 7,642.42 × 3,116
4. Step 4: Simplify right side
   5,538.27x = 23,813,780.72
5. Step 5: Solve for x
   x = 23,813,780.72/5,538.27
6. Step 6: Final answer
   x = 4,299.86