Finding the Fourth Proportional to 1,642.64, 2,266.82 and 896.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.64 : 2,266.82 = 896.59 : x
2. Step 2: Convert to fraction form
   1,642.64/2,266.82 = 896.59/x
3. Step 3: Cross multiply
   1,642.64x = 2,266.82 × 896.59
4. Step 4: Simplify right side
   1,642.64x = 2,032,414.34
5. Step 5: Solve for x
   x = 2,032,414.34/1,642.64
6. Step 6: Final answer
   x = 1,237.29