Finding the Fourth Proportional to 5,905.40, 8,145.24 and 3,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,905.40 : 8,145.24 = 3,807.50 : x
2. Step 2: Convert to fraction form
   5,905.40/8,145.24 = 3,807.50/x
3. Step 3: Cross multiply
   5,905.40x = 8,145.24 × 3,807.50
4. Step 4: Simplify right side
   5,905.40x = 31,013,001.30
5. Step 5: Solve for x
   x = 31,013,001.30/5,905.40
6. Step 6: Final answer
   x = 5,251.63