Finding the Fourth Proportional to 1,500.10, 2,067.64 and 1,002.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,500.10 : 2,067.64 = 1,002.56 : x
2. Step 2: Convert to fraction form
   1,500.10/2,067.64 = 1,002.56/x
3. Step 3: Cross multiply
   1,500.10x = 2,067.64 × 1,002.56
4. Step 4: Simplify right side
   1,500.10x = 2,072,933.16
5. Step 5: Solve for x
   x = 2,072,933.16/1,500.10
6. Step 6: Final answer
   x = 1,381.86