Finding the Fourth Proportional to 1,435.88, 2,152.46 and 461.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,435.88 : 2,152.46 = 461.31 : x
2. Step 2: Convert to fraction form
   1,435.88/2,152.46 = 461.31/x
3. Step 3: Cross multiply
   1,435.88x = 2,152.46 × 461.31
4. Step 4: Simplify right side
   1,435.88x = 992,949.02
5. Step 5: Solve for x
   x = 992,949.02/1,435.88
6. Step 6: Final answer
   x = 691.53