Finding the Fourth Proportional to 1,301.34, 1,795.27 and 777.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.34 : 1,795.27 = 777.06 : x
2. Step 2: Convert to fraction form
   1,301.34/1,795.27 = 777.06/x
3. Step 3: Cross multiply
   1,301.34x = 1,795.27 × 777.06
4. Step 4: Simplify right side
   1,301.34x = 1,395,032.51
5. Step 5: Solve for x
   x = 1,395,032.51/1,301.34
6. Step 6: Final answer
   x = 1,072.00