Finding the Fourth Proportional to 1,009.98, 1,513.59 and 461.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.98 : 1,513.59 = 461.49 : x
2. Step 2: Convert to fraction form
   1,009.98/1,513.59 = 461.49/x
3. Step 3: Cross multiply
   1,009.98x = 1,513.59 × 461.49
4. Step 4: Simplify right side
   1,009.98x = 698,506.65
5. Step 5: Solve for x
   x = 698,506.65/1,009.98
6. Step 6: Final answer
   x = 691.60