Finding the Fourth Proportional to 13,849.14, 19,111.70 and 7,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,849.14 : 19,111.70 = 7,561.50 : x
2. Step 2: Convert to fraction form
   13,849.14/19,111.70 = 7,561.50/x
3. Step 3: Cross multiply
   13,849.14x = 19,111.70 × 7,561.50
4. Step 4: Simplify right side
   13,849.14x = 144,513,119.55
5. Step 5: Solve for x
   x = 144,513,119.55/13,849.14
6. Step 6: Final answer
   x = 10,434.81