Finding the Fourth Proportional to 2,586.72, 3,569.76 and 1,538.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.72 : 3,569.76 = 1,538.64 : x
2. Step 2: Convert to fraction form
   2,586.72/3,569.76 = 1,538.64/x
3. Step 3: Cross multiply
   2,586.72x = 3,569.76 × 1,538.64
4. Step 4: Simplify right side
   2,586.72x = 5,492,575.53
5. Step 5: Solve for x
   x = 5,492,575.53/2,586.72
6. Step 6: Final answer
   x = 2,123.37