Finding the Fourth Proportional to 2,647.60, 3,652.96 and 1,584.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.60 : 3,652.96 = 1,584.93 : x
2. Step 2: Convert to fraction form
   2,647.60/3,652.96 = 1,584.93/x
3. Step 3: Cross multiply
   2,647.60x = 3,652.96 × 1,584.93
4. Step 4: Simplify right side
   2,647.60x = 5,789,685.89
5. Step 5: Solve for x
   x = 5,789,685.89/2,647.60
6. Step 6: Final answer
   x = 2,186.77