Finding the Fourth Proportional to 13,829.50, 19,084.71 and 7,541.92

Step by Step Solution

1. Step 1: Write the proportion equation
   13,829.50 : 19,084.71 = 7,541.92 : x
2. Step 2: Convert to fraction form
   13,829.50/19,084.71 = 7,541.92/x
3. Step 3: Cross multiply
   13,829.50x = 19,084.71 × 7,541.92
4. Step 4: Simplify right side
   13,829.50x = 143,935,356.04
5. Step 5: Solve for x
   x = 143,935,356.04/13,829.50
6. Step 6: Final answer
   x = 10,407.85