Finding the Fourth Proportional to 6,886.05, 9,502.72 and 3,742.23

Step by Step Solution

1. Step 1: Write the proportion equation
   6,886.05 : 9,502.72 = 3,742.23 : x
2. Step 2: Convert to fraction form
   6,886.05/9,502.72 = 3,742.23/x
3. Step 3: Cross multiply
   6,886.05x = 9,502.72 × 3,742.23
4. Step 4: Simplify right side
   6,886.05x = 35,561,345.15
5. Step 5: Solve for x
   x = 35,561,345.15/6,886.05
6. Step 6: Final answer
   x = 5,164.26