Finding the Fourth Proportional to 6,886.56, 9,503.47 and 3,742.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,886.56 : 9,503.47 = 3,742.75 : x
2. Step 2: Convert to fraction form
   6,886.56/9,503.47 = 3,742.75/x
3. Step 3: Cross multiply
   6,886.56x = 9,503.47 × 3,742.75
4. Step 4: Simplify right side
   6,886.56x = 35,569,112.34
5. Step 5: Solve for x
   x = 35,569,112.34/6,886.56
6. Step 6: Final answer
   x = 5,165.00