Finding the Fourth Proportional to 2,002.32, 2,761.74 and 1,471.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.32 : 2,761.74 = 1,471.05 : x
2. Step 2: Convert to fraction form
   2,002.32/2,761.74 = 1,471.05/x
3. Step 3: Cross multiply
   2,002.32x = 2,761.74 × 1,471.05
4. Step 4: Simplify right side
   2,002.32x = 4,062,657.63
5. Step 5: Solve for x
   x = 4,062,657.63/2,002.32
6. Step 6: Final answer
   x = 2,028.98