Finding the Fourth Proportional to 2,424.50, 3,345.83 and 1,584.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,424.50 : 3,345.83 = 1,584.69 : x
2. Step 2: Convert to fraction form
   2,424.50/3,345.83 = 1,584.69/x
3. Step 3: Cross multiply
   2,424.50x = 3,345.83 × 1,584.69
4. Step 4: Simplify right side
   2,424.50x = 5,302,103.34
5. Step 5: Solve for x
   x = 5,302,103.34/2,424.50
6. Step 6: Final answer
   x = 2,186.89