Finding the Fourth Proportional to 1,410.30, 1,946.35 and 812.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.30 : 1,946.35 = 812.82 : x
2. Step 2: Convert to fraction form
   1,410.30/1,946.35 = 812.82/x
3. Step 3: Cross multiply
   1,410.30x = 1,946.35 × 812.82
4. Step 4: Simplify right side
   1,410.30x = 1,582,032.21
5. Step 5: Solve for x
   x = 1,582,032.21/1,410.30
6. Step 6: Final answer
   x = 1,121.77