Finding the Fourth Proportional to 1,505.55, 2,255.88 and 775.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.55 : 2,255.88 = 775.35 : x
2. Step 2: Convert to fraction form
   1,505.55/2,255.88 = 775.35/x
3. Step 3: Cross multiply
   1,505.55x = 2,255.88 × 775.35
4. Step 4: Simplify right side
   1,505.55x = 1,749,096.56
5. Step 5: Solve for x
   x = 1,749,096.56/1,505.55
6. Step 6: Final answer
   x = 1,161.77