Finding the Fourth Proportional to 9,823.06, 13,554.30 and 5,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,823.06 : 13,554.30 = 5,630.50 : x
2. Step 2: Convert to fraction form
   9,823.06/13,554.30 = 5,630.50/x
3. Step 3: Cross multiply
   9,823.06x = 13,554.30 × 5,630.50
4. Step 4: Simplify right side
   9,823.06x = 76,317,486.15
5. Step 5: Solve for x
   x = 76,317,486.15/9,823.06
6. Step 6: Final answer
   x = 7,769.22