Finding the Fourth Proportional to 9,533.80, 13,156.42 and 5,341.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,533.80 : 13,156.42 = 5,341.96 : x
2. Step 2: Convert to fraction form
   9,533.80/13,156.42 = 5,341.96/x
3. Step 3: Cross multiply
   9,533.80x = 13,156.42 × 5,341.96
4. Step 4: Simplify right side
   9,533.80x = 70,281,069.38
5. Step 5: Solve for x
   x = 70,281,069.38/9,533.80
6. Step 6: Final answer
   x = 7,371.78