Finding the Fourth Proportional to 2,259.78, 3,114.88 and 1,906.21

Step by Step Solution

1. Step 1: Write the proportion equation
   2,259.78 : 3,114.88 = 1,906.21 : x
2. Step 2: Convert to fraction form
   2,259.78/3,114.88 = 1,906.21/x
3. Step 3: Cross multiply
   2,259.78x = 3,114.88 × 1,906.21
4. Step 4: Simplify right side
   2,259.78x = 5,937,615.40
5. Step 5: Solve for x
   x = 5,937,615.40/2,259.78
6. Step 6: Final answer
   x = 2,627.52