Finding the Fourth Proportional to 1,144.41, 1,577.82 and 771.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.41 : 1,577.82 = 771.13 : x
2. Step 2: Convert to fraction form
   1,144.41/1,577.82 = 771.13/x
3. Step 3: Cross multiply
   1,144.41x = 1,577.82 × 771.13
4. Step 4: Simplify right side
   1,144.41x = 1,216,704.34
5. Step 5: Solve for x
   x = 1,216,704.34/1,144.41
6. Step 6: Final answer
   x = 1,063.17