Finding the Fourth Proportional to 1,872.82, 2,581.64 and 1,540.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,872.82 : 2,581.64 = 1,540.67 : x
2. Step 2: Convert to fraction form
   1,872.82/2,581.64 = 1,540.67/x
3. Step 3: Cross multiply
   1,872.82x = 2,581.64 × 1,540.67
4. Step 4: Simplify right side
   1,872.82x = 3,977,434.69
5. Step 5: Solve for x
   x = 3,977,434.69/1,872.82
6. Step 6: Final answer
   x = 2,123.77