Finding the Fourth Proportional to 5,402.84, 8,096.16 and 3,758.54

Step by Step Solution

1. Step 1: Write the proportion equation
   5,402.84 : 8,096.16 = 3,758.54 : x
2. Step 2: Convert to fraction form
   5,402.84/8,096.16 = 3,758.54/x
3. Step 3: Cross multiply
   5,402.84x = 8,096.16 × 3,758.54
4. Step 4: Simplify right side
   5,402.84x = 30,429,741.21
5. Step 5: Solve for x
   x = 30,429,741.21/5,402.84
6. Step 6: Final answer
   x = 5,632.18