Finding the Fourth Proportional to 2,586.53, 3,569.47 and 1,407.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.53 : 3,569.47 = 1,407.69 : x
2. Step 2: Convert to fraction form
   2,586.53/3,569.47 = 1,407.69/x
3. Step 3: Cross multiply
   2,586.53x = 3,569.47 × 1,407.69
4. Step 4: Simplify right side
   2,586.53x = 5,024,703.71
5. Step 5: Solve for x
   x = 5,024,703.71/2,586.53
6. Step 6: Final answer
   x = 1,942.64