Finding the Fourth Proportional to 10,373.82, 14,315.81 and 5,897.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,373.82 : 14,315.81 = 5,897.57 : x
2. Step 2: Convert to fraction form
   10,373.82/14,315.81 = 5,897.57/x
3. Step 3: Cross multiply
   10,373.82x = 14,315.81 × 5,897.57
4. Step 4: Simplify right side
   10,373.82x = 84,428,497.88
5. Step 5: Solve for x
   x = 84,428,497.88/10,373.82
6. Step 6: Final answer
   x = 8,138.61