Finding the Fourth Proportional to 9,627.56, 13,285.92 and 5,378.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,627.56 : 13,285.92 = 5,378.35 : x
2. Step 2: Convert to fraction form
   9,627.56/13,285.92 = 5,378.35/x
3. Step 3: Cross multiply
   9,627.56x = 13,285.92 × 5,378.35
4. Step 4: Simplify right side
   9,627.56x = 71,456,327.83
5. Step 5: Solve for x
   x = 71,456,327.83/9,627.56
6. Step 6: Final answer
   x = 7,422.06