Finding the Fourth Proportional to 4,357.89, 6,538.10 and 1,584.52

Step by Step Solution

1. Step 1: Write the proportion equation
   4,357.89 : 6,538.10 = 1,584.52 : x
2. Step 2: Convert to fraction form
   4,357.89/6,538.10 = 1,584.52/x
3. Step 3: Cross multiply
   4,357.89x = 6,538.10 × 1,584.52
4. Step 4: Simplify right side
   4,357.89x = 10,359,725.94
5. Step 5: Solve for x
   x = 10,359,725.94/4,357.89
6. Step 6: Final answer
   x = 2,377.23