Finding the Fourth Proportional to 1,477.50, 2,038.86 and 814.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.50 : 2,038.86 = 814.35 : x
2. Step 2: Convert to fraction form
   1,477.50/2,038.86 = 814.35/x
3. Step 3: Cross multiply
   1,477.50x = 2,038.86 × 814.35
4. Step 4: Simplify right side
   1,477.50x = 1,660,345.64
5. Step 5: Solve for x
   x = 1,660,345.64/1,477.50
6. Step 6: Final answer
   x = 1,123.75