Finding the Fourth Proportional to 2,002.84, 3,005.34 and 976.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.84 : 3,005.34 = 976.84 : x
2. Step 2: Convert to fraction form
   2,002.84/3,005.34 = 976.84/x
3. Step 3: Cross multiply
   2,002.84x = 3,005.34 × 976.84
4. Step 4: Simplify right side
   2,002.84x = 2,935,736.33
5. Step 5: Solve for x
   x = 2,935,736.33/2,002.84
6. Step 6: Final answer
   x = 1,465.79