Finding the Fourth Proportional to 1,477.50, 2,039.31 and 856.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.50 : 2,039.31 = 856.86 : x
2. Step 2: Convert to fraction form
   1,477.50/2,039.31 = 856.86/x
3. Step 3: Cross multiply
   1,477.50x = 2,039.31 × 856.86
4. Step 4: Simplify right side
   1,477.50x = 1,747,403.17
5. Step 5: Solve for x
   x = 1,747,403.17/1,477.50
6. Step 6: Final answer
   x = 1,182.68