Finding the Fourth Proportional to 1,603.83, 2,402.30 and 871.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,603.83 : 2,402.30 = 871.86 : x
2. Step 2: Convert to fraction form
   1,603.83/2,402.30 = 871.86/x
3. Step 3: Cross multiply
   1,603.83x = 2,402.30 × 871.86
4. Step 4: Simplify right side
   1,603.83x = 2,094,471.46
5. Step 5: Solve for x
   x = 2,094,471.46/1,603.83
6. Step 6: Final answer
   x = 1,305.92