Finding the Fourth Proportional to 9,096.22, 13,649.56 and 3,830.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096.22 : 13,649.56 = 3,830.81 : x
2. Step 2: Convert to fraction form
   9,096.22/13,649.56 = 3,830.81/x
3. Step 3: Cross multiply
   9,096.22x = 13,649.56 × 3,830.81
4. Step 4: Simplify right side
   9,096.22x = 52,288,895.49
5. Step 5: Solve for x
   x = 52,288,895.49/9,096.22
6. Step 6: Final answer
   x = 5,748.42