Finding the Fourth Proportional to 1,535.76, 2,300.76 and 766.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.76 : 2,300.76 = 766.80 : x
2. Step 2: Convert to fraction form
   1,535.76/2,300.76 = 766.80/x
3. Step 3: Cross multiply
   1,535.76x = 2,300.76 × 766.80
4. Step 4: Simplify right side
   1,535.76x = 1,764,222.77
5. Step 5: Solve for x
   x = 1,764,222.77/1,535.76
6. Step 6: Final answer
   x = 1,148.76