Finding the Fourth Proportional to 1,477.41, 2,038.86 and 814.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.41 : 2,038.86 = 814.23 : x
2. Step 2: Convert to fraction form
   1,477.41/2,038.86 = 814.23/x
3. Step 3: Cross multiply
   1,477.41x = 2,038.86 × 814.23
4. Step 4: Simplify right side
   1,477.41x = 1,660,100.98
5. Step 5: Solve for x
   x = 1,660,100.98/1,477.41
6. Step 6: Final answer
   x = 1,123.66