Finding the Fourth Proportional to 1,132.59, 1,697.43 and 1,002.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,132.59 : 1,697.43 = 1,002.09 : x
2. Step 2: Convert to fraction form
   1,132.59/1,697.43 = 1,002.09/x
3. Step 3: Cross multiply
   1,132.59x = 1,697.43 × 1,002.09
4. Step 4: Simplify right side
   1,132.59x = 1,700,977.63
5. Step 5: Solve for x
   x = 1,700,977.63/1,132.59
6. Step 6: Final answer
   x = 1,501.85