Finding the Fourth Proportional to 1,410.69, 1,946.40 and 813.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.69 : 1,946.40 = 813.36 : x
2. Step 2: Convert to fraction form
   1,410.69/1,946.40 = 813.36/x
3. Step 3: Cross multiply
   1,410.69x = 1,946.40 × 813.36
4. Step 4: Simplify right side
   1,410.69x = 1,583,123.90
5. Step 5: Solve for x
   x = 1,583,123.90/1,410.69
6. Step 6: Final answer
   x = 1,122.23