Finding the Fourth Proportional to 2,102.69, 3,147.96 and 1,584.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,102.69 : 3,147.96 = 1,584.89 : x
2. Step 2: Convert to fraction form
   2,102.69/3,147.96 = 1,584.89/x
3. Step 3: Cross multiply
   2,102.69x = 3,147.96 × 1,584.89
4. Step 4: Simplify right side
   2,102.69x = 4,989,170.32
5. Step 5: Solve for x
   x = 4,989,170.32/2,102.69
6. Step 6: Final answer
   x = 2,372.76