Finding the Fourth Proportional to 1,690.63, 2,535.98 and 766.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,690.63 : 2,535.98 = 766.02 : x
2. Step 2: Convert to fraction form
   1,690.63/2,535.98 = 766.02/x
3. Step 3: Cross multiply
   1,690.63x = 2,535.98 × 766.02
4. Step 4: Simplify right side
   1,690.63x = 1,942,611.40
5. Step 5: Solve for x
   x = 1,942,611.40/1,690.63
6. Step 6: Final answer
   x = 1,149.05