Finding the Fourth Proportional to 2,580.32, 3,859.50 and 1,537.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,580.32 : 3,859.50 = 1,537.94 : x
2. Step 2: Convert to fraction form
   2,580.32/3,859.50 = 1,537.94/x
3. Step 3: Cross multiply
   2,580.32x = 3,859.50 × 1,537.94
4. Step 4: Simplify right side
   2,580.32x = 5,935,679.43
5. Step 5: Solve for x
   x = 5,935,679.43/2,580.32
6. Step 6: Final answer
   x = 2,300.37