Finding the Fourth Proportional to 10,146, 14,003.24 and 5,897.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146 : 14,003.24 = 5,897.55 : x
2. Step 2: Convert to fraction form
   10,146/14,003.24 = 5,897.55/x
3. Step 3: Cross multiply
   10,146x = 14,003.24 × 5,897.55
4. Step 4: Simplify right side
   10,146x = 82,584,778.57
5. Step 5: Solve for x
   x = 82,584,778.57/10,146
6. Step 6: Final answer
   x = 8,139.64