Finding the Fourth Proportional to 1,410.05, 1,945.73 and 780.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.05 : 1,945.73 = 780.56 : x
2. Step 2: Convert to fraction form
   1,410.05/1,945.73 = 780.56/x
3. Step 3: Cross multiply
   1,410.05x = 1,945.73 × 780.56
4. Step 4: Simplify right side
   1,410.05x = 1,518,759.01
5. Step 5: Solve for x
   x = 1,518,759.01/1,410.05
6. Step 6: Final answer
   x = 1,077.10