Finding the Fourth Proportional to 1,477.21, 2,038.41 and 814.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.21 : 2,038.41 = 814.09 : x
2. Step 2: Convert to fraction form
   1,477.21/2,038.41 = 814.09/x
3. Step 3: Cross multiply
   1,477.21x = 2,038.41 × 814.09
4. Step 4: Simplify right side
   1,477.21x = 1,659,449.20
5. Step 5: Solve for x
   x = 1,659,449.20/1,477.21
6. Step 6: Final answer
   x = 1,123.37