Finding the Fourth Proportional to 10,738.50, 14,823.18 and 7,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,738.50 : 14,823.18 = 7,012.50 : x
2. Step 2: Convert to fraction form
   10,738.50/14,823.18 = 7,012.50/x
3. Step 3: Cross multiply
   10,738.50x = 14,823.18 × 7,012.50
4. Step 4: Simplify right side
   10,738.50x = 103,947,549.75
5. Step 5: Solve for x
   x = 103,947,549.75/10,738.50
6. Step 6: Final answer
   x = 9,679.89