Finding the Fourth Proportional to 2,646.84, 3,966.15 and 1,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646.84 : 3,966.15 = 1,002.50 : x
2. Step 2: Convert to fraction form
   2,646.84/3,966.15 = 1,002.50/x
3. Step 3: Cross multiply
   2,646.84x = 3,966.15 × 1,002.50
4. Step 4: Simplify right side
   2,646.84x = 3,976,045.54
5. Step 5: Solve for x
   x = 3,976,045.54/2,646.84
6. Step 6: Final answer
   x = 1,502.19