Finding the Fourth Proportional to 10,225.98, 15,311.62 and 5,837.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,225.98 : 15,311.62 = 5,837.40 : x
2. Step 2: Convert to fraction form
   10,225.98/15,311.62 = 5,837.40/x
3. Step 3: Cross multiply
   10,225.98x = 15,311.62 × 5,837.40
4. Step 4: Simplify right side
   10,225.98x = 89,380,050.59
5. Step 5: Solve for x
   x = 89,380,050.59/10,225.98
6. Step 6: Final answer
   x = 8,740.49