Finding the Fourth Proportional to 9,537.35, 13,161.57 and 5,345.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,537.35 : 13,161.57 = 5,345.60 : x
2. Step 2: Convert to fraction form
   9,537.35/13,161.57 = 5,345.60/x
3. Step 3: Cross multiply
   9,537.35x = 13,161.57 × 5,345.60
4. Step 4: Simplify right side
   9,537.35x = 70,356,422.78
5. Step 5: Solve for x
   x = 70,356,422.78/9,537.35
6. Step 6: Final answer
   x = 7,376.94