Finding the Fourth Proportional to 1,290.21, 1,934.82 and 468.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,290.21 : 1,934.82 = 468.42 : x
2. Step 2: Convert to fraction form
   1,290.21/1,934.82 = 468.42/x
3. Step 3: Cross multiply
   1,290.21x = 1,934.82 × 468.42
4. Step 4: Simplify right side
   1,290.21x = 906,308.38
5. Step 5: Solve for x
   x = 906,308.38/1,290.21
6. Step 6: Final answer
   x = 702.45