Finding the Fourth Proportional to 2,764.26, 3,814.69 and 1,505.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,764.26 : 3,814.69 = 1,505.32 : x
2. Step 2: Convert to fraction form
   2,764.26/3,814.69 = 1,505.32/x
3. Step 3: Cross multiply
   2,764.26x = 3,814.69 × 1,505.32
4. Step 4: Simplify right side
   2,764.26x = 5,742,329.15
5. Step 5: Solve for x
   x = 5,742,329.15/2,764.26
6. Step 6: Final answer
   x = 2,077.35