Finding the Fourth Proportional to 2,586.76, 3,569.52 and 1,538.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.76 : 3,569.52 = 1,538.62 : x
2. Step 2: Convert to fraction form
   2,586.76/3,569.52 = 1,538.62/x
3. Step 3: Cross multiply
   2,586.76x = 3,569.52 × 1,538.62
4. Step 4: Simplify right side
   2,586.76x = 5,492,134.86
5. Step 5: Solve for x
   x = 5,492,134.86/2,586.76
6. Step 6: Final answer
   x = 2,123.17