Finding the Fourth Proportional to 1,788.50, 2,468.14 and 1,002.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,788.50 : 2,468.14 = 1,002.56 : x
2. Step 2: Convert to fraction form
   1,788.50/2,468.14 = 1,002.56/x
3. Step 3: Cross multiply
   1,788.50x = 2,468.14 × 1,002.56
4. Step 4: Simplify right side
   1,788.50x = 2,474,443.59
5. Step 5: Solve for x
   x = 2,474,443.59/1,788.50
6. Step 6: Final answer
   x = 1,383.53