Finding the Fourth Proportional to 1,410.13, 1,946.13 and 780.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.13 : 1,946.13 = 780.71 : x
2. Step 2: Convert to fraction form
   1,410.13/1,946.13 = 780.71/x
3. Step 3: Cross multiply
   1,410.13x = 1,946.13 × 780.71
4. Step 4: Simplify right side
   1,410.13x = 1,519,363.15
5. Step 5: Solve for x
   x = 1,519,363.15/1,410.13
6. Step 6: Final answer
   x = 1,077.46