Finding the Fourth Proportional to 2,632.50, 3,632.85 and 1,584.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,632.50 : 3,632.85 = 1,584.77 : x
2. Step 2: Convert to fraction form
   2,632.50/3,632.85 = 1,584.77/x
3. Step 3: Cross multiply
   2,632.50x = 3,632.85 × 1,584.77
4. Step 4: Simplify right side
   2,632.50x = 5,757,213.53
5. Step 5: Solve for x
   x = 5,757,213.53/2,632.50
6. Step 6: Final answer
   x = 2,186.98