Finding the Fourth Proportional to 1,410.38, 1,946.26 and 780.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.38 : 1,946.26 = 780.86 : x
2. Step 2: Convert to fraction form
   1,410.38/1,946.26 = 780.86/x
3. Step 3: Cross multiply
   1,410.38x = 1,946.26 × 780.86
4. Step 4: Simplify right side
   1,410.38x = 1,519,760.47
5. Step 5: Solve for x
   x = 1,519,760.47/1,410.38
6. Step 6: Final answer
   x = 1,077.55