Finding the Fourth Proportional to 6,878.86, 9,492.82 and 3,735.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,878.86 : 9,492.82 = 3,735.05 : x
2. Step 2: Convert to fraction form
   6,878.86/9,492.82 = 3,735.05/x
3. Step 3: Cross multiply
   6,878.86x = 9,492.82 × 3,735.05
4. Step 4: Simplify right side
   6,878.86x = 35,456,157.34
5. Step 5: Solve for x
   x = 35,456,157.34/6,878.86
6. Step 6: Final answer
   x = 5,154.37