Finding the Fourth Proportional to 2,764.16, 3,814.52 and 1,505.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,764.16 : 3,814.52 = 1,505.20 : x
2. Step 2: Convert to fraction form
   2,764.16/3,814.52 = 1,505.20/x
3. Step 3: Cross multiply
   2,764.16x = 3,814.52 × 1,505.20
4. Step 4: Simplify right side
   2,764.16x = 5,741,615.50
5. Step 5: Solve for x
   x = 5,741,615.50/2,764.16
6. Step 6: Final answer
   x = 2,077.16