Finding the Fourth Proportional to 6,885.78, 9,502.38 and 3,742.02

Step by Step Solution

1. Step 1: Write the proportion equation
   6,885.78 : 9,502.38 = 3,742.02 : x
2. Step 2: Convert to fraction form
   6,885.78/9,502.38 = 3,742.02/x
3. Step 3: Cross multiply
   6,885.78x = 9,502.38 × 3,742.02
4. Step 4: Simplify right side
   6,885.78x = 35,558,096.01
5. Step 5: Solve for x
   x = 35,558,096.01/6,885.78
6. Step 6: Final answer
   x = 5,163.99