Finding the Fourth Proportional to 6,538.52, 9,809.84 and 2,377.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,538.52 : 9,809.84 = 2,377.42 : x
2. Step 2: Convert to fraction form
   6,538.52/9,809.84 = 2,377.42/x
3. Step 3: Cross multiply
   6,538.52x = 9,809.84 × 2,377.42
4. Step 4: Simplify right side
   6,538.52x = 23,322,109.81
5. Step 5: Solve for x
   x = 23,322,109.81/6,538.52
6. Step 6: Final answer
   x = 3,566.88