Finding the Fourth Proportional to 1,410.30, 1,946.19 and 780.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.30 : 1,946.19 = 780.82 : x
2. Step 2: Convert to fraction form
   1,410.30/1,946.19 = 780.82/x
3. Step 3: Cross multiply
   1,410.30x = 1,946.19 × 780.82
4. Step 4: Simplify right side
   1,410.30x = 1,519,626.50
5. Step 5: Solve for x
   x = 1,519,626.50/1,410.30
6. Step 6: Final answer
   x = 1,077.52