Finding the Fourth Proportional to 1,410.16, 1,946.01 and 780.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.16 : 1,946.01 = 780.69 : x
2. Step 2: Convert to fraction form
   1,410.16/1,946.01 = 780.69/x
3. Step 3: Cross multiply
   1,410.16x = 1,946.01 × 780.69
4. Step 4: Simplify right side
   1,410.16x = 1,519,230.55
5. Step 5: Solve for x
   x = 1,519,230.55/1,410.16
6. Step 6: Final answer
   x = 1,077.35