Finding the Fourth Proportional to 1,580.96, 2,354.78 and 1,509.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,580.96 : 2,354.78 = 1,509.89 : x
2. Step 2: Convert to fraction form
   1,580.96/2,354.78 = 1,509.89/x
3. Step 3: Cross multiply
   1,580.96x = 2,354.78 × 1,509.89
4. Step 4: Simplify right side
   1,580.96x = 3,555,450.78
5. Step 5: Solve for x
   x = 3,555,450.78/1,580.96
6. Step 6: Final answer
   x = 2,248.92