Finding the Fourth Proportional to 10,106.50, 13,946.98 and 5,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.50 : 13,946.98 = 5,690.50 : x
2. Step 2: Convert to fraction form
   10,106.50/13,946.98 = 5,690.50/x
3. Step 3: Cross multiply
   10,106.50x = 13,946.98 × 5,690.50
4. Step 4: Simplify right side
   10,106.50x = 79,365,289.69
5. Step 5: Solve for x
   x = 79,365,289.69/10,106.50
6. Step 6: Final answer
   x = 7,852.90