Finding the Fourth Proportional to 1,049.25, 1,580.00 and 777.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,049.25 : 1,580.00 = 777.27 : x
2. Step 2: Convert to fraction form
   1,049.25/1,580.00 = 777.27/x
3. Step 3: Cross multiply
   1,049.25x = 1,580.00 × 777.27
4. Step 4: Simplify right side
   1,049.25x = 1,228,082.71
5. Step 5: Solve for x
   x = 1,228,082.71/1,049.25
6. Step 6: Final answer
   x = 1,170.44