Finding the Fourth Proportional to 2,561.00, 3,835.82 and 1,584.95

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.00 : 3,835.82 = 1,584.95 : x
2. Step 2: Convert to fraction form
   2,561.00/3,835.82 = 1,584.95/x
3. Step 3: Cross multiply
   2,561.00x = 3,835.82 × 1,584.95
4. Step 4: Simplify right side
   2,561.00x = 6,079,567.69
5. Step 5: Solve for x
   x = 6,079,567.69/2,561.00
6. Step 6: Final answer
   x = 2,373.91