Finding the Fourth Proportional to 9,836.46, 13,573.86 and 5,586.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,836.46 : 13,573.86 = 5,586.96 : x
2. Step 2: Convert to fraction form
   9,836.46/13,573.86 = 5,586.96/x
3. Step 3: Cross multiply
   9,836.46x = 13,573.86 × 5,586.96
4. Step 4: Simplify right side
   9,836.46x = 75,836,612.87
5. Step 5: Solve for x
   x = 75,836,612.87/9,836.46
6. Step 6: Final answer
   x = 7,709.75