Finding the Fourth Proportional to 9,821.84, 13,554.52 and 5,630.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,821.84 : 13,554.52 = 5,630.88 : x
2. Step 2: Convert to fraction form
   9,821.84/13,554.52 = 5,630.88/x
3. Step 3: Cross multiply
   9,821.84x = 13,554.52 × 5,630.88
4. Step 4: Simplify right side
   9,821.84x = 76,323,875.58
5. Step 5: Solve for x
   x = 76,323,875.58/9,821.84
6. Step 6: Final answer
   x = 7,770.83