Finding the Fourth Proportional to 6,886.57, 9,503.42 and 3,742.76

Step by Step Solution

1. Step 1: Write the proportion equation
   6,886.57 : 9,503.42 = 3,742.76 : x
2. Step 2: Convert to fraction form
   6,886.57/9,503.42 = 3,742.76/x
3. Step 3: Cross multiply
   6,886.57x = 9,503.42 × 3,742.76
4. Step 4: Simplify right side
   6,886.57x = 35,568,963.37
5. Step 5: Solve for x
   x = 35,568,963.37/6,886.57
6. Step 6: Final answer
   x = 5,164.98