Finding the Fourth Proportional to 1,407.89, 2,110.69 and 586.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.89 : 2,110.69 = 586.78 : x
2. Step 2: Convert to fraction form
   1,407.89/2,110.69 = 586.78/x
3. Step 3: Cross multiply
   1,407.89x = 2,110.69 × 586.78
4. Step 4: Simplify right side
   1,407.89x = 1,238,510.68
5. Step 5: Solve for x
   x = 1,238,510.68/1,407.89
6. Step 6: Final answer
   x = 879.69