Finding the Fourth Proportional to 10,100.10, 15,114.15 and 6,404.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.10 : 15,114.15 = 6,404.10 : x
2. Step 2: Convert to fraction form
   10,100.10/15,114.15 = 6,404.10/x
3. Step 3: Cross multiply
   10,100.10x = 15,114.15 × 6,404.10
4. Step 4: Simplify right side
   10,100.10x = 96,792,528.02
5. Step 5: Solve for x
   x = 96,792,528.02/10,100.10
6. Step 6: Final answer
   x = 9,583.32