Finding the Fourth Proportional to 2,014.34, 2,779.82 and 1,509.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,014.34 : 2,779.82 = 1,509.30 : x
2. Step 2: Convert to fraction form
   2,014.34/2,779.82 = 1,509.30/x
3. Step 3: Cross multiply
   2,014.34x = 2,779.82 × 1,509.30
4. Step 4: Simplify right side
   2,014.34x = 4,195,582.33
5. Step 5: Solve for x
   x = 4,195,582.33/2,014.34
6. Step 6: Final answer
   x = 2,082.85