Finding the Fourth Proportional to 1,689.50, 2,533.50 and 765.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,689.50 : 2,533.50 = 765.02 : x
2. Step 2: Convert to fraction form
   1,689.50/2,533.50 = 765.02/x
3. Step 3: Cross multiply
   1,689.50x = 2,533.50 × 765.02
4. Step 4: Simplify right side
   1,689.50x = 1,938,165.50
5. Step 5: Solve for x
   x = 1,938,165.50/1,689.50
6. Step 6: Final answer
   x = 1,147.19