Finding the Fourth Proportional to 9,825.79, 14,729.80 and 3,584.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.79 : 14,729.80 = 3,584.34 : x
2. Step 2: Convert to fraction form
   9,825.79/14,729.80 = 3,584.34/x
3. Step 3: Cross multiply
   9,825.79x = 14,729.80 × 3,584.34
4. Step 4: Simplify right side
   9,825.79x = 52,796,611.33
5. Step 5: Solve for x
   x = 52,796,611.33/9,825.79
6. Step 6: Final answer
   x = 5,373.27