Finding the Fourth Proportional to 6,885.86, 9,502.56 and 3,742.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,885.86 : 9,502.56 = 3,742.05 : x
2. Step 2: Convert to fraction form
   6,885.86/9,502.56 = 3,742.05/x
3. Step 3: Cross multiply
   6,885.86x = 9,502.56 × 3,742.05
4. Step 4: Simplify right side
   6,885.86x = 35,559,054.65
5. Step 5: Solve for x
   x = 35,559,054.65/6,885.86
6. Step 6: Final answer
   x = 5,164.07