Finding the Fourth Proportional to 1,536.80, 2,304.42 and 756.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.80 : 2,304.42 = 756.86 : x
2. Step 2: Convert to fraction form
   1,536.80/2,304.42 = 756.86/x
3. Step 3: Cross multiply
   1,536.80x = 2,304.42 × 756.86
4. Step 4: Simplify right side
   1,536.80x = 1,744,123.32
5. Step 5: Solve for x
   x = 1,744,123.32/1,536.80
6. Step 6: Final answer
   x = 1,134.91