Finding the Fourth Proportional to 1,410.05, 1,946 and 780.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.05 : 1,946 = 780.73 : x
2. Step 2: Convert to fraction form
   1,410.05/1,946 = 780.73/x
3. Step 3: Cross multiply
   1,410.05x = 1,946 × 780.73
4. Step 4: Simplify right side
   1,410.05x = 1,519,300.58
5. Step 5: Solve for x
   x = 1,519,300.58/1,410.05
6. Step 6: Final answer
   x = 1,077.48