Finding the Fourth Proportional to 2,729.83, 3,767.16 and 1,534.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,729.83 : 3,767.16 = 1,534.82 : x
2. Step 2: Convert to fraction form
   2,729.83/3,767.16 = 1,534.82/x
3. Step 3: Cross multiply
   2,729.83x = 3,767.16 × 1,534.82
4. Step 4: Simplify right side
   2,729.83x = 5,781,912.51
5. Step 5: Solve for x
   x = 5,781,912.51/2,729.83
6. Step 6: Final answer
   x = 2,118.05