Finding the Fourth Proportional to 1,410.29, 1,946.23 and 780.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.29 : 1,946.23 = 780.80 : x
2. Step 2: Convert to fraction form
   1,410.29/1,946.23 = 780.80/x
3. Step 3: Cross multiply
   1,410.29x = 1,946.23 × 780.80
4. Step 4: Simplify right side
   1,410.29x = 1,519,616.38
5. Step 5: Solve for x
   x = 1,519,616.38/1,410.29
6. Step 6: Final answer
   x = 1,077.52