Finding the Fourth Proportional to 5,900.40, 8,138.34 and 3,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,900.40 : 8,138.34 = 3,802.50 : x
2. Step 2: Convert to fraction form
   5,900.40/8,138.34 = 3,802.50/x
3. Step 3: Cross multiply
   5,900.40x = 8,138.34 × 3,802.50
4. Step 4: Simplify right side
   5,900.40x = 30,946,037.85
5. Step 5: Solve for x
   x = 30,946,037.85/5,900.40
6. Step 6: Final answer
   x = 5,244.74