Finding the Fourth Proportional to 13,829.25, 19,084.50 and 7,541.76

Step by Step Solution

1. Step 1: Write the proportion equation
   13,829.25 : 19,084.50 = 7,541.76 : x
2. Step 2: Convert to fraction form
   13,829.25/19,084.50 = 7,541.76/x
3. Step 3: Cross multiply
   13,829.25x = 19,084.50 × 7,541.76
4. Step 4: Simplify right side
   13,829.25x = 143,930,718.72
5. Step 5: Solve for x
   x = 143,930,718.72/13,829.25
6. Step 6: Final answer
   x = 10,407.70