Finding the Fourth Proportional to 10,106, 13,946.28 and 5,690

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106 : 13,946.28 = 5,690 : x
2. Step 2: Convert to fraction form
   10,106/13,946.28 = 5,690/x
3. Step 3: Cross multiply
   10,106x = 13,946.28 × 5,690
4. Step 4: Simplify right side
   10,106x = 79,354,333.20
5. Step 5: Solve for x
   x = 79,354,333.20/10,106
6. Step 6: Final answer
   x = 7,852.20