Finding the Fourth Proportional to 1,009.62, 1,515.78 and 976.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.62 : 1,515.78 = 976.82 : x
2. Step 2: Convert to fraction form
   1,009.62/1,515.78 = 976.82/x
3. Step 3: Cross multiply
   1,009.62x = 1,515.78 × 976.82
4. Step 4: Simplify right side
   1,009.62x = 1,480,636.64
5. Step 5: Solve for x
   x = 1,480,636.64/1,009.62
6. Step 6: Final answer
   x = 1,466.53