Finding the Fourth Proportional to 10,086.40, 15,106.14 and 9,736.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086.40 : 15,106.14 = 9,736.12 : x
2. Step 2: Convert to fraction form
   10,086.40/15,106.14 = 9,736.12/x
3. Step 3: Cross multiply
   10,086.40x = 15,106.14 × 9,736.12
4. Step 4: Simplify right side
   10,086.40x = 147,075,191.78
5. Step 5: Solve for x
   x = 147,075,191.78/10,086.40
6. Step 6: Final answer
   x = 14,581.53