Finding the Fourth Proportional to 10,109.21, 15,153.62 and 6,404.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.21 : 15,153.62 = 6,404.27 : x
2. Step 2: Convert to fraction form
   10,109.21/15,153.62 = 6,404.27/x
3. Step 3: Cross multiply
   10,109.21x = 15,153.62 × 6,404.27
4. Step 4: Simplify right side
   10,109.21x = 97,047,766.17
5. Step 5: Solve for x
   x = 97,047,766.17/10,109.21
6. Step 6: Final answer
   x = 9,599.94