Finding the Fourth Proportional to 1,410.91, 1,946.49 and 813.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.91 : 1,946.49 = 813.19 : x
2. Step 2: Convert to fraction form
   1,410.91/1,946.49 = 813.19/x
3. Step 3: Cross multiply
   1,410.91x = 1,946.49 × 813.19
4. Step 4: Simplify right side
   1,410.91x = 1,582,866.20
5. Step 5: Solve for x
   x = 1,582,866.20/1,410.91
6. Step 6: Final answer
   x = 1,121.88