Finding the Fourth Proportional to 5,384.58, 7,429.42 and 3,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,384.58 : 7,429.42 = 3,588.50 : x
2. Step 2: Convert to fraction form
   5,384.58/7,429.42 = 3,588.50/x
3. Step 3: Cross multiply
   5,384.58x = 7,429.42 × 3,588.50
4. Step 4: Simplify right side
   5,384.58x = 26,660,496.73
5. Step 5: Solve for x
   x = 26,660,496.73/5,384.58
6. Step 6: Final answer
   x = 4,951.27