Finding the Fourth Proportional to 10,145.41, 14,002.45 and 5,897.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,145.41 : 14,002.45 = 5,897.79 : x
2. Step 2: Convert to fraction form
   10,145.41/14,002.45 = 5,897.79/x
3. Step 3: Cross multiply
   10,145.41x = 14,002.45 × 5,897.79
4. Step 4: Simplify right side
   10,145.41x = 82,583,494.84
5. Step 5: Solve for x
   x = 82,583,494.84/10,145.41
6. Step 6: Final answer
   x = 8,139.99