Finding the Fourth Proportional to 10,089.50, 13,924.73 and 5,897.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,089.50 : 13,924.73 = 5,897.75 : x
2. Step 2: Convert to fraction form
   10,089.50/13,924.73 = 5,897.75/x
3. Step 3: Cross multiply
   10,089.50x = 13,924.73 × 5,897.75
4. Step 4: Simplify right side
   10,089.50x = 82,124,546.87
5. Step 5: Solve for x
   x = 82,124,546.87/10,089.50
6. Step 6: Final answer
   x = 8,139.61