Finding the Fourth Proportional to 2,764.47, 3,814.86 and 1,505.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,764.47 : 3,814.86 = 1,505.47 : x
2. Step 2: Convert to fraction form
   2,764.47/3,814.86 = 1,505.47/x
3. Step 3: Cross multiply
   2,764.47x = 3,814.86 × 1,505.47
4. Step 4: Simplify right side
   2,764.47x = 5,743,157.28
5. Step 5: Solve for x
   x = 5,743,157.28/2,764.47
6. Step 6: Final answer
   x = 2,077.49