Finding the Fourth Proportional to 2,054.93, 3,077.69 and 1,505.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,054.93 : 3,077.69 = 1,505.75 : x
2. Step 2: Convert to fraction form
   2,054.93/3,077.69 = 1,505.75/x
3. Step 3: Cross multiply
   2,054.93x = 3,077.69 × 1,505.75
4. Step 4: Simplify right side
   2,054.93x = 4,634,231.72
5. Step 5: Solve for x
   x = 4,634,231.72/2,054.93
6. Step 6: Final answer
   x = 2,255.18