Finding the Fourth Proportional to 2,101.69, 3,146.46 and 1,583.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,101.69 : 3,146.46 = 1,583.89 : x
2. Step 2: Convert to fraction form
   2,101.69/3,146.46 = 1,583.89/x
3. Step 3: Cross multiply
   2,101.69x = 3,146.46 × 1,583.89
4. Step 4: Simplify right side
   2,101.69x = 4,983,646.53
5. Step 5: Solve for x
   x = 4,983,646.53/2,101.69
6. Step 6: Final answer
   x = 2,371.26