Finding the Fourth Proportional to 1,301.56, 1,796.10 and 777.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.56 : 1,796.10 = 777.88 : x
2. Step 2: Convert to fraction form
   1,301.56/1,796.10 = 777.88/x
3. Step 3: Cross multiply
   1,301.56x = 1,796.10 × 777.88
4. Step 4: Simplify right side
   1,301.56x = 1,397,150.27
5. Step 5: Solve for x
   x = 1,397,150.27/1,301.56
6. Step 6: Final answer
   x = 1,073.44