Finding the Fourth Proportional to 6,592.18, 9,096.33 and 3,797.14

Step by Step Solution

1. Step 1: Write the proportion equation
   6,592.18 : 9,096.33 = 3,797.14 : x
2. Step 2: Convert to fraction form
   6,592.18/9,096.33 = 3,797.14/x
3. Step 3: Cross multiply
   6,592.18x = 9,096.33 × 3,797.14
4. Step 4: Simplify right side
   6,592.18x = 34,540,038.50
5. Step 5: Solve for x
   x = 34,540,038.50/6,592.18
6. Step 6: Final answer
   x = 5,239.55