Finding the Fourth Proportional to 5,281.89, 7,924.16 and 1,584.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,281.89 : 7,924.16 = 1,584.10 : x
2. Step 2: Convert to fraction form
   5,281.89/7,924.16 = 1,584.10/x
3. Step 3: Cross multiply
   5,281.89x = 7,924.16 × 1,584.10
4. Step 4: Simplify right side
   5,281.89x = 12,552,661.86
5. Step 5: Solve for x
   x = 12,552,661.86/5,281.89
6. Step 6: Final answer
   x = 2,376.55