Finding the Fourth Proportional to 10,738.50, 14,806.65 and 10,074.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,738.50 : 14,806.65 = 10,074.30 : x
2. Step 2: Convert to fraction form
   10,738.50/14,806.65 = 10,074.30/x
3. Step 3: Cross multiply
   10,738.50x = 14,806.65 × 10,074.30
4. Step 4: Simplify right side
   10,738.50x = 149,166,634.10
5. Step 5: Solve for x
   x = 149,166,634.10/10,738.50
6. Step 6: Final answer
   x = 13,890.83