Finding the Fourth Proportional to 2,796.50, 3,859.16 and 1,537.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,796.50 : 3,859.16 = 1,537.58 : x
2. Step 2: Convert to fraction form
   2,796.50/3,859.16 = 1,537.58/x
3. Step 3: Cross multiply
   2,796.50x = 3,859.16 × 1,537.58
4. Step 4: Simplify right side
   2,796.50x = 5,933,769.19
5. Step 5: Solve for x
   x = 5,933,769.19/2,796.50
6. Step 6: Final answer
   x = 2,121.85