Finding the Fourth Proportional to 9,821.84, 13,554.10 and 5,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,821.84 : 13,554.10 = 5,345.50 : x
2. Step 2: Convert to fraction form
   9,821.84/13,554.10 = 5,345.50/x
3. Step 3: Cross multiply
   9,821.84x = 13,554.10 × 5,345.50
4. Step 4: Simplify right side
   9,821.84x = 72,453,441.55
5. Step 5: Solve for x
   x = 72,453,441.55/9,821.84
6. Step 6: Final answer
   x = 7,376.77