Finding the Fourth Proportional to 2,538.25, 3,504.93 and 2,120.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.25 : 3,504.93 = 2,120.83 : x
2. Step 2: Convert to fraction form
   2,538.25/3,504.93 = 2,120.83/x
3. Step 3: Cross multiply
   2,538.25x = 3,504.93 × 2,120.83
4. Step 4: Simplify right side
   2,538.25x = 7,433,360.69
5. Step 5: Solve for x
   x = 7,433,360.69/2,538.25
6. Step 6: Final answer
   x = 2,928.54