Finding the Fourth Proportional to 13,833.75, 19,090.71 and 7,546.26

Step by Step Solution

1. Step 1: Write the proportion equation
   13,833.75 : 19,090.71 = 7,546.26 : x
2. Step 2: Convert to fraction form
   13,833.75/19,090.71 = 7,546.26/x
3. Step 3: Cross multiply
   13,833.75x = 19,090.71 × 7,546.26
4. Step 4: Simplify right side
   13,833.75x = 144,063,461.24
5. Step 5: Solve for x
   x = 144,063,461.24/13,833.75
6. Step 6: Final answer
   x = 10,413.91