Finding the Fourth Proportional to 1,406.79, 1,941.35 and 777.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.79 : 1,941.35 = 777.35 : x
2. Step 2: Convert to fraction form
   1,406.79/1,941.35 = 777.35/x
3. Step 3: Cross multiply
   1,406.79x = 1,941.35 × 777.35
4. Step 4: Simplify right side
   1,406.79x = 1,509,094.83
5. Step 5: Solve for x
   x = 1,509,094.83/1,406.79
6. Step 6: Final answer
   x = 1,072.72