Finding the Fourth Proportional to 1,410.17, 1,946.00 and 780.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.17 : 1,946.00 = 780.68 : x
2. Step 2: Convert to fraction form
   1,410.17/1,946.00 = 780.68/x
3. Step 3: Cross multiply
   1,410.17x = 1,946.00 × 780.68
4. Step 4: Simplify right side
   1,410.17x = 1,519,189.65
5. Step 5: Solve for x
   x = 1,519,189.65/1,410.17
6. Step 6: Final answer
   x = 1,077.31