Finding the Fourth Proportional to 9,821.84, 13,555.98 and 5,630.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,821.84 : 13,555.98 = 5,630.09 : x
2. Step 2: Convert to fraction form
   9,821.84/13,555.98 = 5,630.09/x
3. Step 3: Cross multiply
   9,821.84x = 13,555.98 × 5,630.09
4. Step 4: Simplify right side
   9,821.84x = 76,321,319.66
5. Step 5: Solve for x
   x = 76,321,319.66/9,821.84
6. Step 6: Final answer
   x = 7,770.58