Finding the Fourth Proportional to 9,878.59, 13,632.83 and 5,630.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,878.59 : 13,632.83 = 5,630.32 : x
2. Step 2: Convert to fraction form
   9,878.59/13,632.83 = 5,630.32/x
3. Step 3: Cross multiply
   9,878.59x = 13,632.83 × 5,630.32
4. Step 4: Simplify right side
   9,878.59x = 76,757,240.42
5. Step 5: Solve for x
   x = 76,757,240.42/9,878.59
6. Step 6: Final answer
   x = 7,770.06