Finding the Fourth Proportional to 6,886.32, 9,502.72 and 3,742.48

Step by Step Solution

1. Step 1: Write the proportion equation
   6,886.32 : 9,502.72 = 3,742.48 : x
2. Step 2: Convert to fraction form
   6,886.32/9,502.72 = 3,742.48/x
3. Step 3: Cross multiply
   6,886.32x = 9,502.72 × 3,742.48
4. Step 4: Simplify right side
   6,886.32x = 35,563,739.55
5. Step 5: Solve for x
   x = 35,563,739.55/6,886.32
6. Step 6: Final answer
   x = 5,164.40