Finding the Fourth Proportional to 1,182.96, 1,628.82 and 1,005.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.96 : 1,628.82 = 1,005.57 : x
2. Step 2: Convert to fraction form
   1,182.96/1,628.82 = 1,005.57/x
3. Step 3: Cross multiply
   1,182.96x = 1,628.82 × 1,005.57
4. Step 4: Simplify right side
   1,182.96x = 1,637,892.53
5. Step 5: Solve for x
   x = 1,637,892.53/1,182.96
6. Step 6: Final answer
   x = 1,384.57