Finding the Fourth Proportional to 9,538.56, 13,162.50 and 5,346

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.56 : 13,162.50 = 5,346 : x
2. Step 2: Convert to fraction form
   9,538.56/13,162.50 = 5,346/x
3. Step 3: Cross multiply
   9,538.56x = 13,162.50 × 5,346
4. Step 4: Simplify right side
   9,538.56x = 70,366,725
5. Step 5: Solve for x
   x = 70,366,725/9,538.56
6. Step 6: Final answer
   x = 7,377.08