Finding the Fourth Proportional to 9,876.84, 13,630.95 and 5,628.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,876.84 : 13,630.95 = 5,628.09 : x
2. Step 2: Convert to fraction form
   9,876.84/13,630.95 = 5,628.09/x
3. Step 3: Cross multiply
   9,876.84x = 13,630.95 × 5,628.09
4. Step 4: Simplify right side
   9,876.84x = 76,716,213.39
5. Step 5: Solve for x
   x = 76,716,213.39/9,876.84
6. Step 6: Final answer
   x = 7,767.28