Finding the Fourth Proportional to 1,355.46, 1,870.47 and 766.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.46 : 1,870.47 = 766.08 : x
2. Step 2: Convert to fraction form
   1,355.46/1,870.47 = 766.08/x
3. Step 3: Cross multiply
   1,355.46x = 1,870.47 × 766.08
4. Step 4: Simplify right side
   1,355.46x = 1,432,929.66
5. Step 5: Solve for x
   x = 1,432,929.66/1,355.46
6. Step 6: Final answer
   x = 1,057.15