Finding the Fourth Proportional to 1,406.98, 1,941.60 and 777.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.98 : 1,941.60 = 777.53 : x
2. Step 2: Convert to fraction form
   1,406.98/1,941.60 = 777.53/x
3. Step 3: Cross multiply
   1,406.98x = 1,941.60 × 777.53
4. Step 4: Simplify right side
   1,406.98x = 1,509,660.02
5. Step 5: Solve for x
   x = 1,509,660.02/1,406.98
6. Step 6: Final answer
   x = 1,072.98