Finding the Fourth Proportional to 2,796.61, 3,859.33 and 1,537.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,796.61 : 3,859.33 = 1,537.75 : x
2. Step 2: Convert to fraction form
   2,796.61/3,859.33 = 1,537.75/x
3. Step 3: Cross multiply
   2,796.61x = 3,859.33 × 1,537.75
4. Step 4: Simplify right side
   2,796.61x = 5,934,684.71
5. Step 5: Solve for x
   x = 5,934,684.71/2,796.61
6. Step 6: Final answer
   x = 2,122.10