Finding the Fourth Proportional to 13,833.86, 19,090.78 and 7,546.37

Step by Step Solution

1. Step 1: Write the proportion equation
   13,833.86 : 19,090.78 = 7,546.37 : x
2. Step 2: Convert to fraction form
   13,833.86/19,090.78 = 7,546.37/x
3. Step 3: Cross multiply
   13,833.86x = 19,090.78 × 7,546.37
4. Step 4: Simplify right side
   13,833.86x = 144,065,994.01
5. Step 5: Solve for x
   x = 144,065,994.01/13,833.86
6. Step 6: Final answer
   x = 10,414.02