Finding the Fourth Proportional to 1,687.72, 2,533.50 and 1,005.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,687.72 : 2,533.50 = 1,005.16 : x
2. Step 2: Convert to fraction form
   1,687.72/2,533.50 = 1,005.16/x
3. Step 3: Cross multiply
   1,687.72x = 2,533.50 × 1,005.16
4. Step 4: Simplify right side
   1,687.72x = 2,546,572.86
5. Step 5: Solve for x
   x = 2,546,572.86/1,687.72
6. Step 6: Final answer
   x = 1,508.88