Finding the Fourth Proportional to 1,406.54, 1,941.17 and 777.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.54 : 1,941.17 = 777.22 : x
2. Step 2: Convert to fraction form
   1,406.54/1,941.17 = 777.22/x
3. Step 3: Cross multiply
   1,406.54x = 1,941.17 × 777.22
4. Step 4: Simplify right side
   1,406.54x = 1,508,707.41
5. Step 5: Solve for x
   x = 1,508,707.41/1,406.54
6. Step 6: Final answer
   x = 1,072.64