Finding the Fourth Proportional to 5,059.52, 7,584.72 and 2,138

Step by Step Solution

1. Step 1: Write the proportion equation
   5,059.52 : 7,584.72 = 2,138 : x
2. Step 2: Convert to fraction form
   5,059.52/7,584.72 = 2,138/x
3. Step 3: Cross multiply
   5,059.52x = 7,584.72 × 2,138
4. Step 4: Simplify right side
   5,059.52x = 16,216,131.36
5. Step 5: Solve for x
   x = 16,216,131.36/5,059.52
6. Step 6: Final answer
   x = 3,205.07