Finding the Fourth Proportional to 9,809.78, 13,537.46 and 5,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,809.78 : 13,537.46 = 5,333.50 : x
2. Step 2: Convert to fraction form
   9,809.78/13,537.46 = 5,333.50/x
3. Step 3: Cross multiply
   9,809.78x = 13,537.46 × 5,333.50
4. Step 4: Simplify right side
   9,809.78x = 72,202,022.40
5. Step 5: Solve for x
   x = 72,202,022.40/9,809.78
6. Step 6: Final answer
   x = 7,360.21