Finding the Fourth Proportional to 2,586.89, 3,569.80 and 1,407.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.89 : 3,569.80 = 1,407.96 : x
2. Step 2: Convert to fraction form
   2,586.89/3,569.80 = 1,407.96/x
3. Step 3: Cross multiply
   2,586.89x = 3,569.80 × 1,407.96
4. Step 4: Simplify right side
   2,586.89x = 5,026,128.57
5. Step 5: Solve for x
   x = 5,026,128.57/2,586.89
6. Step 6: Final answer
   x = 1,942.93