Finding the Fourth Proportional to 9,878.41, 13,632.78 and 5,630.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,878.41 : 13,632.78 = 5,630.77 : x
2. Step 2: Convert to fraction form
   9,878.41/13,632.78 = 5,630.77/x
3. Step 3: Cross multiply
   9,878.41x = 13,632.78 × 5,630.77
4. Step 4: Simplify right side
   9,878.41x = 76,763,048.64
5. Step 5: Solve for x
   x = 76,763,048.64/9,878.41
6. Step 6: Final answer
   x = 7,770.79