Finding the Fourth Proportional to 9,705.83, 14,539.64 and 5,533.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,705.83 : 14,539.64 = 5,533.25 : x
2. Step 2: Convert to fraction form
   9,705.83/14,539.64 = 5,533.25/x
3. Step 3: Cross multiply
   9,705.83x = 14,539.64 × 5,533.25
4. Step 4: Simplify right side
   9,705.83x = 80,451,362.67
5. Step 5: Solve for x
   x = 80,451,362.67/9,705.83
6. Step 6: Final answer
   x = 8,288.98