Finding the Fourth Proportional to 1,410.37, 1,946.27 and 780.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.37 : 1,946.27 = 780.87 : x
2. Step 2: Convert to fraction form
   1,410.37/1,946.27 = 780.87/x
3. Step 3: Cross multiply
   1,410.37x = 1,946.27 × 780.87
4. Step 4: Simplify right side
   1,410.37x = 1,519,783.85
5. Step 5: Solve for x
   x = 1,519,783.85/1,410.37
6. Step 6: Final answer
   x = 1,077.58