Finding the Fourth Proportional to 2,764.10, 3,814.34 and 1,505.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,764.10 : 3,814.34 = 1,505.16 : x
2. Step 2: Convert to fraction form
   2,764.10/3,814.34 = 1,505.16/x
3. Step 3: Cross multiply
   2,764.10x = 3,814.34 × 1,505.16
4. Step 4: Simplify right side
   2,764.10x = 5,741,165.40
5. Step 5: Solve for x
   x = 5,741,165.40/2,764.10
6. Step 6: Final answer
   x = 2,077.05