Finding the Fourth Proportional to 1,406.79, 1,941.42 and 777.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.79 : 1,941.42 = 777.32 : x
2. Step 2: Convert to fraction form
   1,406.79/1,941.42 = 777.32/x
3. Step 3: Cross multiply
   1,406.79x = 1,941.42 × 777.32
4. Step 4: Simplify right side
   1,406.79x = 1,509,094.89
5. Step 5: Solve for x
   x = 1,509,094.89/1,406.79
6. Step 6: Final answer
   x = 1,072.72