Finding the Fourth Proportional to 2,586.61, 3,569.52 and 1,407.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.61 : 3,569.52 = 1,407.68 : x
2. Step 2: Convert to fraction form
   2,586.61/3,569.52 = 1,407.68/x
3. Step 3: Cross multiply
   2,586.61x = 3,569.52 × 1,407.68
4. Step 4: Simplify right side
   2,586.61x = 5,024,724.07
5. Step 5: Solve for x
   x = 5,024,724.07/2,586.61
6. Step 6: Final answer
   x = 1,942.59