Finding the Fourth Proportional to 1,410.66, 1,946.82 and 813.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.66 : 1,946.82 = 813.35 : x
2. Step 2: Convert to fraction form
   1,410.66/1,946.82 = 813.35/x
3. Step 3: Cross multiply
   1,410.66x = 1,946.82 × 813.35
4. Step 4: Simplify right side
   1,410.66x = 1,583,436.31
5. Step 5: Solve for x
   x = 1,583,436.31/1,410.66
6. Step 6: Final answer
   x = 1,122.48