Finding the Fourth Proportional to 3,086.63, 4,628.76 and 1,006.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,086.63 : 4,628.76 = 1,006.14 : x
2. Step 2: Convert to fraction form
   3,086.63/4,628.76 = 1,006.14/x
3. Step 3: Cross multiply
   3,086.63x = 4,628.76 × 1,006.14
4. Step 4: Simplify right side
   3,086.63x = 4,657,180.59
5. Step 5: Solve for x
   x = 4,657,180.59/3,086.63
6. Step 6: Final answer
   x = 1,508.82