Finding the Fourth Proportional to 10,100, 13,938.06 and 5,684

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100 : 13,938.06 = 5,684 : x
2. Step 2: Convert to fraction form
   10,100/13,938.06 = 5,684/x
3. Step 3: Cross multiply
   10,100x = 13,938.06 × 5,684
4. Step 4: Simplify right side
   10,100x = 79,223,933.04
5. Step 5: Solve for x
   x = 79,223,933.04/10,100
6. Step 6: Final answer
   x = 7,843.95