Finding the Fourth Proportional to 9,822.84, 13,555.74 and 5,574.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822.84 : 13,555.74 = 5,574.18 : x
2. Step 2: Convert to fraction form
   9,822.84/13,555.74 = 5,574.18/x
3. Step 3: Cross multiply
   9,822.84x = 13,555.74 × 5,574.18
4. Step 4: Simplify right side
   9,822.84x = 75,562,134.79
5. Step 5: Solve for x
   x = 75,562,134.79/9,822.84
6. Step 6: Final answer
   x = 7,692.49