Finding the Fourth Proportional to 2,684.05, 3,703.86 and 1,505.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,684.05 : 3,703.86 = 1,505.23 : x
2. Step 2: Convert to fraction form
   2,684.05/3,703.86 = 1,505.23/x
3. Step 3: Cross multiply
   2,684.05x = 3,703.86 × 1,505.23
4. Step 4: Simplify right side
   2,684.05x = 5,575,151.93
5. Step 5: Solve for x
   x = 5,575,151.93/2,684.05
6. Step 6: Final answer
   x = 2,077.14