Finding the Fourth Proportional to 2,030.54, 3,049.16 and 1,536.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,030.54 : 3,049.16 = 1,536.96 : x
2. Step 2: Convert to fraction form
   2,030.54/3,049.16 = 1,536.96/x
3. Step 3: Cross multiply
   2,030.54x = 3,049.16 × 1,536.96
4. Step 4: Simplify right side
   2,030.54x = 4,686,429.27
5. Step 5: Solve for x
   x = 4,686,429.27/2,030.54
6. Step 6: Final answer
   x = 2,307.98