Finding the Fourth Proportional to 10,584.56, 15,876.72 and 3,658.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584.56 : 15,876.72 = 3,658.96 : x
2. Step 2: Convert to fraction form
   10,584.56/15,876.72 = 3,658.96/x
3. Step 3: Cross multiply
   10,584.56x = 15,876.72 × 3,658.96
4. Step 4: Simplify right side
   10,584.56x = 58,092,283.41
5. Step 5: Solve for x
   x = 58,092,283.41/10,584.56
6. Step 6: Final answer
   x = 5,488.40