Finding the Fourth Proportional to 1,690.55, 2,535.53 and 765.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,690.55 : 2,535.53 = 765.89 : x
2. Step 2: Convert to fraction form
   1,690.55/2,535.53 = 765.89/x
3. Step 3: Cross multiply
   1,690.55x = 2,535.53 × 765.89
4. Step 4: Simplify right side
   1,690.55x = 1,941,920.56
5. Step 5: Solve for x
   x = 1,941,920.56/1,690.55
6. Step 6: Final answer
   x = 1,148.69