Finding the Fourth Proportional to 9,827.37, 13,562.06 and 5,578.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.37 : 13,562.06 = 5,578.35 : x
2. Step 2: Convert to fraction form
   9,827.37/13,562.06 = 5,578.35/x
3. Step 3: Cross multiply
   9,827.37x = 13,562.06 × 5,578.35
4. Step 4: Simplify right side
   9,827.37x = 75,653,917.40
5. Step 5: Solve for x
   x = 75,653,917.40/9,827.37
6. Step 6: Final answer
   x = 7,698.29