Finding the Fourth Proportional to 1,690.83, 2,536.55 and 766.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,690.83 : 2,536.55 = 766.35 : x
2. Step 2: Convert to fraction form
   1,690.83/2,536.55 = 766.35/x
3. Step 3: Cross multiply
   1,690.83x = 2,536.55 × 766.35
4. Step 4: Simplify right side
   1,690.83x = 1,943,891.43
5. Step 5: Solve for x
   x = 1,943,891.43/1,690.83
6. Step 6: Final answer
   x = 1,149.67