Finding the Fourth Proportional to 13,821.84, 19,074.72 and 7,534.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13,821.84 : 19,074.72 = 7,534.56 : x
2. Step 2: Convert to fraction form
   13,821.84/19,074.72 = 7,534.56/x
3. Step 3: Cross multiply
   13,821.84x = 19,074.72 × 7,534.56
4. Step 4: Simplify right side
   13,821.84x = 143,719,622.32
5. Step 5: Solve for x
   x = 143,719,622.32/13,821.84
6. Step 6: Final answer
   x = 10,398.01