Finding the Fourth Proportional to 10,584.64, 14,606.58 and 5,868.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584.64 : 14,606.58 = 5,868.82 : x
2. Step 2: Convert to fraction form
   10,584.64/14,606.58 = 5,868.82/x
3. Step 3: Cross multiply
   10,584.64x = 14,606.58 × 5,868.82
4. Step 4: Simplify right side
   10,584.64x = 85,723,388.84
5. Step 5: Solve for x
   x = 85,723,388.84/10,584.64
6. Step 6: Final answer
   x = 8,098.85