Finding the Fourth Proportional to 1,536.83, 2,306.39 and 1,142.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.83 : 2,306.39 = 1,142.42 : x
2. Step 2: Convert to fraction form
   1,536.83/2,306.39 = 1,142.42/x
3. Step 3: Cross multiply
   1,536.83x = 2,306.39 × 1,142.42
4. Step 4: Simplify right side
   1,536.83x = 2,634,848.82
5. Step 5: Solve for x
   x = 2,634,848.82/1,536.83
6. Step 6: Final answer
   x = 1,714.48