Finding the Fourth Proportional to 10,201.53, 14,078.82 and 5,953.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,201.53 : 14,078.82 = 5,953.62 : x
2. Step 2: Convert to fraction form
   10,201.53/14,078.82 = 5,953.62/x
3. Step 3: Cross multiply
   10,201.53x = 14,078.82 × 5,953.62
4. Step 4: Simplify right side
   10,201.53x = 83,819,944.33
5. Step 5: Solve for x
   x = 83,819,944.33/10,201.53
6. Step 6: Final answer
   x = 8,216.41