Finding the Fourth Proportional to 9,773.82, 14,659.30 and 3,200.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,773.82 : 14,659.30 = 3,200.26 : x
2. Step 2: Convert to fraction form
   9,773.82/14,659.30 = 3,200.26/x
3. Step 3: Cross multiply
   9,773.82x = 14,659.30 × 3,200.26
4. Step 4: Simplify right side
   9,773.82x = 46,913,571.42
5. Step 5: Solve for x
   x = 46,913,571.42/9,773.82
6. Step 6: Final answer
   x = 4,799.92