Finding the Fourth Proportional to 6,978.82, 9,630.81 and 3,792.14

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.82 : 9,630.81 = 3,792.14 : x
2. Step 2: Convert to fraction form
   6,978.82/9,630.81 = 3,792.14/x
3. Step 3: Cross multiply
   6,978.82x = 9,630.81 × 3,792.14
4. Step 4: Simplify right side
   6,978.82x = 36,521,312.72
5. Step 5: Solve for x
   x = 36,521,312.72/6,978.82
6. Step 6: Final answer
   x = 5,233.17