Finding the Fourth Proportional to 765.72, 1,056.72 and 434.18

Step by Step Solution

1. Step 1: Write the proportion equation
   765.72 : 1,056.72 = 434.18 : x
2. Step 2: Convert to fraction form
   765.72/1,056.72 = 434.18/x
3. Step 3: Cross multiply
   765.72x = 1,056.72 × 434.18
4. Step 4: Simplify right side
   765.72x = 458,806.69
5. Step 5: Solve for x
   x = 458,806.69/765.72
6. Step 6: Final answer
   x = 599.18