Finding the Fourth Proportional to 1,402.10, 1,936.14 and 871.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.10 : 1,936.14 = 871.89 : x
2. Step 2: Convert to fraction form
   1,402.10/1,936.14 = 871.89/x
3. Step 3: Cross multiply
   1,402.10x = 1,936.14 × 871.89
4. Step 4: Simplify right side
   1,402.10x = 1,688,099.70
5. Step 5: Solve for x
   x = 1,688,099.70/1,402.10
6. Step 6: Final answer
   x = 1,203.98