Finding the Fourth Proportional to 9,096.18, 13,622.40 and 5,188.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096.18 : 13,622.40 = 5,188.74 : x
2. Step 2: Convert to fraction form
   9,096.18/13,622.40 = 5,188.74/x
3. Step 3: Cross multiply
   9,096.18x = 13,622.40 × 5,188.74
4. Step 4: Simplify right side
   9,096.18x = 70,683,091.78
5. Step 5: Solve for x
   x = 70,683,091.78/9,096.18
6. Step 6: Final answer
   x = 7,770.63