Finding the Fourth Proportional to 13,820.84, 19,072.96 and 7,533.20

Step by Step Solution

1. Step 1: Write the proportion equation
   13,820.84 : 19,072.96 = 7,533.20 : x
2. Step 2: Convert to fraction form
   13,820.84/19,072.96 = 7,533.20/x
3. Step 3: Cross multiply
   13,820.84x = 19,072.96 × 7,533.20
4. Step 4: Simplify right side
   13,820.84x = 143,680,422.27
5. Step 5: Solve for x
   x = 143,680,422.27/13,820.84
6. Step 6: Final answer
   x = 10,395.93