Finding the Fourth Proportional to 754.86, 1,126.56 and 735.42

Step by Step Solution

1. Step 1: Write the proportion equation
   754.86 : 1,126.56 = 735.42 : x
2. Step 2: Convert to fraction form
   754.86/1,126.56 = 735.42/x
3. Step 3: Cross multiply
   754.86x = 1,126.56 × 735.42
4. Step 4: Simplify right side
   754.86x = 828,494.76
5. Step 5: Solve for x
   x = 828,494.76/754.86
6. Step 6: Final answer
   x = 1,097.55