Finding the Fourth Proportional to 6,978.83, 9,630.73 and 3,792.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.83 : 9,630.73 = 3,792.10 : x
2. Step 2: Convert to fraction form
   6,978.83/9,630.73 = 3,792.10/x
3. Step 3: Cross multiply
   6,978.83x = 9,630.73 × 3,792.10
4. Step 4: Simplify right side
   6,978.83x = 36,520,691.23
5. Step 5: Solve for x
   x = 36,520,691.23/6,978.83
6. Step 6: Final answer
   x = 5,233.07