Finding the Fourth Proportional to 10,315.50, 14,233.74 and 5,837.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,315.50 : 14,233.74 = 5,837.82 : x
2. Step 2: Convert to fraction form
   10,315.50/14,233.74 = 5,837.82/x
3. Step 3: Cross multiply
   10,315.50x = 14,233.74 × 5,837.82
4. Step 4: Simplify right side
   10,315.50x = 83,094,012.05
5. Step 5: Solve for x
   x = 83,094,012.05/10,315.50
6. Step 6: Final answer
   x = 8,055.26