Finding the Fourth Proportional to 13,870.02, 20,806.35 and 5,105.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870.02 : 20,806.35 = 5,105.10 : x
2. Step 2: Convert to fraction form
   13,870.02/20,806.35 = 5,105.10/x
3. Step 3: Cross multiply
   13,870.02x = 20,806.35 × 5,105.10
4. Step 4: Simplify right side
   13,870.02x = 106,218,497.39
5. Step 5: Solve for x
   x = 106,218,497.39/13,870.02
6. Step 6: Final answer
   x = 7,658.14