Finding the Fourth Proportional to 9,828.74, 13,563.83 and 5,352.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828.74 : 13,563.83 = 5,352.58 : x
2. Step 2: Convert to fraction form
   9,828.74/13,563.83 = 5,352.58/x
3. Step 3: Cross multiply
   9,828.74x = 13,563.83 × 5,352.58
4. Step 4: Simplify right side
   9,828.74x = 72,601,485.18
5. Step 5: Solve for x
   x = 72,601,485.18/9,828.74
6. Step 6: Final answer
   x = 7,386.65