Finding the Fourth Proportional to 1,406.92, 1,941.62 and 777.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.92 : 1,941.62 = 777.52 : x
2. Step 2: Convert to fraction form
   1,406.92/1,941.62 = 777.52/x
3. Step 3: Cross multiply
   1,406.92x = 1,941.62 × 777.52
4. Step 4: Simplify right side
   1,406.92x = 1,509,648.38
5. Step 5: Solve for x
   x = 1,509,648.38/1,406.92
6. Step 6: Final answer
   x = 1,073.02