Finding the Fourth Proportional to 1,477.49, 2,038.82 and 814.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.49 : 2,038.82 = 814.30 : x
2. Step 2: Convert to fraction form
   1,477.49/2,038.82 = 814.30/x
3. Step 3: Cross multiply
   1,477.49x = 2,038.82 × 814.30
4. Step 4: Simplify right side
   1,477.49x = 1,660,218.01
5. Step 5: Solve for x
   x = 1,660,218.01/1,477.49
6. Step 6: Final answer
   x = 1,123.67