Finding the Fourth Proportional to 1,586.07, 2,377.89 and 764.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586.07 : 2,377.89 = 764.73 : x
2. Step 2: Convert to fraction form
   1,586.07/2,377.89 = 764.73/x
3. Step 3: Cross multiply
   1,586.07x = 2,377.89 × 764.73
4. Step 4: Simplify right side
   1,586.07x = 1,818,443.82
5. Step 5: Solve for x
   x = 1,818,443.82/1,586.07
6. Step 6: Final answer
   x = 1,146.51