Finding the Fourth Proportional to 2,123.14, 3,181.82 and 1,602.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.14 : 3,181.82 = 1,602.71 : x
2. Step 2: Convert to fraction form
   2,123.14/3,181.82 = 1,602.71/x
3. Step 3: Cross multiply
   2,123.14x = 3,181.82 × 1,602.71
4. Step 4: Simplify right side
   2,123.14x = 5,099,526.72
5. Step 5: Solve for x
   x = 5,099,526.72/2,123.14
6. Step 6: Final answer
   x = 2,401.89