Finding the Fourth Proportional to 10,606.84, 15,899.18 and 3,584.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,606.84 : 15,899.18 = 3,584.42 : x
2. Step 2: Convert to fraction form
   10,606.84/15,899.18 = 3,584.42/x
3. Step 3: Cross multiply
   10,606.84x = 15,899.18 × 3,584.42
4. Step 4: Simplify right side
   10,606.84x = 56,989,338.78
5. Step 5: Solve for x
   x = 56,989,338.78/10,606.84
6. Step 6: Final answer
   x = 5,372.89