Finding the Fourth Proportional to 1,477.34, 2,038.72 and 814.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.34 : 2,038.72 = 814.18 : x
2. Step 2: Convert to fraction form
   1,477.34/2,038.72 = 814.18/x
3. Step 3: Cross multiply
   1,477.34x = 2,038.72 × 814.18
4. Step 4: Simplify right side
   1,477.34x = 1,659,887.09
5. Step 5: Solve for x
   x = 1,659,887.09/1,477.34
6. Step 6: Final answer
   x = 1,123.57