Finding the Fourth Proportional to 1,477.86, 2,039.12 and 856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.86 : 2,039.12 = 856.50 : x
2. Step 2: Convert to fraction form
   1,477.86/2,039.12 = 856.50/x
3. Step 3: Cross multiply
   1,477.86x = 2,039.12 × 856.50
4. Step 4: Simplify right side
   1,477.86x = 1,746,506.28
5. Step 5: Solve for x
   x = 1,746,506.28/1,477.86
6. Step 6: Final answer
   x = 1,181.78