Finding the Fourth Proportional to 13,833.59, 19,090.41 and 7,546.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,833.59 : 19,090.41 = 7,546.10 : x
2. Step 2: Convert to fraction form
   13,833.59/19,090.41 = 7,546.10/x
3. Step 3: Cross multiply
   13,833.59x = 19,090.41 × 7,546.10
4. Step 4: Simplify right side
   13,833.59x = 144,058,147.34
5. Step 5: Solve for x
   x = 144,058,147.34/13,833.59
6. Step 6: Final answer
   x = 10,413.65