Finding the Fourth Proportional to 1,410.51, 1,946.25 and 812.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.51 : 1,946.25 = 812.90 : x
2. Step 2: Convert to fraction form
   1,410.51/1,946.25 = 812.90/x
3. Step 3: Cross multiply
   1,410.51x = 1,946.25 × 812.90
4. Step 4: Simplify right side
   1,410.51x = 1,582,092.83
5. Step 5: Solve for x
   x = 1,582,092.83/1,410.51
6. Step 6: Final answer
   x = 1,121.65