Finding the Fourth Proportional to 1,505.10, 2,256.03 and 773.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.10 : 2,256.03 = 773.67 : x
2. Step 2: Convert to fraction form
   1,505.10/2,256.03 = 773.67/x
3. Step 3: Cross multiply
   1,505.10x = 2,256.03 × 773.67
4. Step 4: Simplify right side
   1,505.10x = 1,745,422.73
5. Step 5: Solve for x
   x = 1,745,422.73/1,505.10
6. Step 6: Final answer
   x = 1,159.67