Finding the Fourth Proportional to 1,406.95, 1,941.71 and 777.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.95 : 1,941.71 = 777.53 : x
2. Step 2: Convert to fraction form
   1,406.95/1,941.71 = 777.53/x
3. Step 3: Cross multiply
   1,406.95x = 1,941.71 × 777.53
4. Step 4: Simplify right side
   1,406.95x = 1,509,738.74
5. Step 5: Solve for x
   x = 1,509,738.74/1,406.95
6. Step 6: Final answer
   x = 1,073.06