Finding the Fourth Proportional to 1,283.35, 1,924.71 and 461.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,283.35 : 1,924.71 = 461.59 : x
2. Step 2: Convert to fraction form
   1,283.35/1,924.71 = 461.59/x
3. Step 3: Cross multiply
   1,283.35x = 1,924.71 × 461.59
4. Step 4: Simplify right side
   1,283.35x = 888,426.89
5. Step 5: Solve for x
   x = 888,426.89/1,283.35
6. Step 6: Final answer
   x = 692.27