Finding the Fourth Proportional to 13,829.34, 19,084.59 and 7,541.58

Step by Step Solution

1. Step 1: Write the proportion equation
   13,829.34 : 19,084.59 = 7,541.58 : x
2. Step 2: Convert to fraction form
   13,829.34/19,084.59 = 7,541.58/x
3. Step 3: Cross multiply
   13,829.34x = 19,084.59 × 7,541.58
4. Step 4: Simplify right side
   13,829.34x = 143,927,962.25
5. Step 5: Solve for x
   x = 143,927,962.25/13,829.34
6. Step 6: Final answer
   x = 10,407.44