Finding the Fourth Proportional to 2,392.79, 3,586.53 and 1,005.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,392.79 : 3,586.53 = 1,005.72 : x
2. Step 2: Convert to fraction form
   2,392.79/3,586.53 = 1,005.72/x
3. Step 3: Cross multiply
   2,392.79x = 3,586.53 × 1,005.72
4. Step 4: Simplify right side
   2,392.79x = 3,607,029.62
5. Step 5: Solve for x
   x = 3,607,029.62/2,392.79
6. Step 6: Final answer
   x = 1,507.46