Finding the Fourth Proportional to 1,477.29, 2,038.83 and 856.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.29 : 2,038.83 = 856.29 : x
2. Step 2: Convert to fraction form
   1,477.29/2,038.83 = 856.29/x
3. Step 3: Cross multiply
   1,477.29x = 2,038.83 × 856.29
4. Step 4: Simplify right side
   1,477.29x = 1,745,829.74
5. Step 5: Solve for x
   x = 1,745,829.74/1,477.29
6. Step 6: Final answer
   x = 1,181.78