Finding the Fourth Proportional to 6,538.42, 9,804.55 and 2,375.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,538.42 : 9,804.55 = 2,375.50 : x
2. Step 2: Convert to fraction form
   6,538.42/9,804.55 = 2,375.50/x
3. Step 3: Cross multiply
   6,538.42x = 9,804.55 × 2,375.50
4. Step 4: Simplify right side
   6,538.42x = 23,290,708.53
5. Step 5: Solve for x
   x = 23,290,708.53/6,538.42
6. Step 6: Final answer
   x = 3,562.13