Finding the Fourth Proportional to 5,897.38, 8,142.60 and 3,662.32

Step by Step Solution

1. Step 1: Write the proportion equation
   5,897.38 : 8,142.60 = 3,662.32 : x
2. Step 2: Convert to fraction form
   5,897.38/8,142.60 = 3,662.32/x
3. Step 3: Cross multiply
   5,897.38x = 8,142.60 × 3,662.32
4. Step 4: Simplify right side
   5,897.38x = 29,820,806.83
5. Step 5: Solve for x
   x = 29,820,806.83/5,897.38
6. Step 6: Final answer
   x = 5,056.62