Finding the Fourth Proportional to 1,402.86, 1,935.62 and 871.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.86 : 1,935.62 = 871.61 : x
2. Step 2: Convert to fraction form
   1,402.86/1,935.62 = 871.61/x
3. Step 3: Cross multiply
   1,402.86x = 1,935.62 × 871.61
4. Step 4: Simplify right side
   1,402.86x = 1,687,091.71
5. Step 5: Solve for x
   x = 1,687,091.71/1,402.86
6. Step 6: Final answer
   x = 1,202.61