Finding the Fourth Proportional to 2,114.73, 2,916.56 and 1,584.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,114.73 : 2,916.56 = 1,584.86 : x
2. Step 2: Convert to fraction form
   2,114.73/2,916.56 = 1,584.86/x
3. Step 3: Cross multiply
   2,114.73x = 2,916.56 × 1,584.86
4. Step 4: Simplify right side
   2,114.73x = 4,622,316.77
5. Step 5: Solve for x
   x = 4,622,316.77/2,114.73
6. Step 6: Final answer
   x = 2,185.77