Finding the Fourth Proportional to 5,896.50, 8,142.03 and 5,159.00

Step by Step Solution

1. Step 1: Write the proportion equation
   5,896.50 : 8,142.03 = 5,159.00 : x
2. Step 2: Convert to fraction form
   5,896.50/8,142.03 = 5,159.00/x
3. Step 3: Cross multiply
   5,896.50x = 8,142.03 × 5,159.00
4. Step 4: Simplify right side
   5,896.50x = 42,004,692.06
5. Step 5: Solve for x
   x = 42,004,692.06/5,896.50
6. Step 6: Final answer
   x = 7,123.67