Finding the Fourth Proportional to 1,402.86, 2,101.78 and 854.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.86 : 2,101.78 = 854.76 : x
2. Step 2: Convert to fraction form
   1,402.86/2,101.78 = 854.76/x
3. Step 3: Cross multiply
   1,402.86x = 2,101.78 × 854.76
4. Step 4: Simplify right side
   1,402.86x = 1,796,517.47
5. Step 5: Solve for x
   x = 1,796,517.47/1,402.86
6. Step 6: Final answer
   x = 1,280.61