Finding the Fourth Proportional to 6,886.82, 9,503.41 and 3,742.98

Step by Step Solution

1. Step 1: Write the proportion equation
   6,886.82 : 9,503.41 = 3,742.98 : x
2. Step 2: Convert to fraction form
   6,886.82/9,503.41 = 3,742.98/x
3. Step 3: Cross multiply
   6,886.82x = 9,503.41 × 3,742.98
4. Step 4: Simplify right side
   6,886.82x = 35,571,073.56
5. Step 5: Solve for x
   x = 35,571,073.56/6,886.82
6. Step 6: Final answer
   x = 5,165.09