Finding the Fourth Proportional to 6,978.70, 9,630.78 and 3,835.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.70 : 9,630.78 = 3,835.06 : x
2. Step 2: Convert to fraction form
   6,978.70/9,630.78 = 3,835.06/x
3. Step 3: Cross multiply
   6,978.70x = 9,630.78 × 3,835.06
4. Step 4: Simplify right side
   6,978.70x = 36,934,619.15
5. Step 5: Solve for x
   x = 36,934,619.15/6,978.70
6. Step 6: Final answer
   x = 5,292.48