Finding the Fourth Proportional to 6,838.06, 9,435.82 and 4,005.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,838.06 : 9,435.82 = 4,005.30 : x
2. Step 2: Convert to fraction form
   6,838.06/9,435.82 = 4,005.30/x
3. Step 3: Cross multiply
   6,838.06x = 9,435.82 × 4,005.30
4. Step 4: Simplify right side
   6,838.06x = 37,793,289.85
5. Step 5: Solve for x
   x = 37,793,289.85/6,838.06
6. Step 6: Final answer
   x = 5,526.90