Finding the Fourth Proportional to 1,690.47, 2,536.83 and 766.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,690.47 : 2,536.83 = 766.53 : x
2. Step 2: Convert to fraction form
   1,690.47/2,536.83 = 766.53/x
3. Step 3: Cross multiply
   1,690.47x = 2,536.83 × 766.53
4. Step 4: Simplify right side
   1,690.47x = 1,944,556.30
5. Step 5: Solve for x
   x = 1,944,556.30/1,690.47
6. Step 6: Final answer
   x = 1,150.31