Finding the Fourth Proportional to 1,406.94, 1,941.63 and 777.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.94 : 1,941.63 = 777.51 : x
2. Step 2: Convert to fraction form
   1,406.94/1,941.63 = 777.51/x
3. Step 3: Cross multiply
   1,406.94x = 1,941.63 × 777.51
4. Step 4: Simplify right side
   1,406.94x = 1,509,636.74
5. Step 5: Solve for x
   x = 1,509,636.74/1,406.94
6. Step 6: Final answer
   x = 1,072.99