Finding the Fourth Proportional to 13,822.37, 19,074.86 and 7,534.74

Step by Step Solution

1. Step 1: Write the proportion equation
   13,822.37 : 19,074.86 = 7,534.74 : x
2. Step 2: Convert to fraction form
   13,822.37/19,074.86 = 7,534.74/x
3. Step 3: Cross multiply
   13,822.37x = 19,074.86 × 7,534.74
4. Step 4: Simplify right side
   13,822.37x = 143,724,072.96
5. Step 5: Solve for x
   x = 143,724,072.96/13,822.37
6. Step 6: Final answer
   x = 10,397.94