Finding the Fourth Proportional to 1,634.21, 2,255.12 and 971.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,634.21 : 2,255.12 = 971.05 : x
2. Step 2: Convert to fraction form
   1,634.21/2,255.12 = 971.05/x
3. Step 3: Cross multiply
   1,634.21x = 2,255.12 × 971.05
4. Step 4: Simplify right side
   1,634.21x = 2,189,832.09
5. Step 5: Solve for x
   x = 2,189,832.09/1,634.21
6. Step 6: Final answer
   x = 1,339.99