Finding the Fourth Proportional to 6,885.82, 9,502.43 and 3,742.00

Step by Step Solution

1. Step 1: Write the proportion equation
   6,885.82 : 9,502.43 = 3,742.00 : x
2. Step 2: Convert to fraction form
   6,885.82/9,502.43 = 3,742.00/x
3. Step 3: Cross multiply
   6,885.82x = 9,502.43 × 3,742.00
4. Step 4: Simplify right side
   6,885.82x = 35,558,114.66
5. Step 5: Solve for x
   x = 35,558,114.66/6,885.82
6. Step 6: Final answer
   x = 5,163.97