Finding the Fourth Proportional to 6,886.17, 9,503.06 and 3,742.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,886.17 : 9,503.06 = 3,742.56 : x
2. Step 2: Convert to fraction form
   6,886.17/9,503.06 = 3,742.56/x
3. Step 3: Cross multiply
   6,886.17x = 9,503.06 × 3,742.56
4. Step 4: Simplify right side
   6,886.17x = 35,565,753.52
5. Step 5: Solve for x
   x = 35,565,753.52/6,886.17
6. Step 6: Final answer
   x = 5,164.81