Finding the Fourth Proportional to 10,357.58, 15,538.61 and 3,783.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.58 : 15,538.61 = 3,783.75 : x
2. Step 2: Convert to fraction form
   10,357.58/15,538.61 = 3,783.75/x
3. Step 3: Cross multiply
   10,357.58x = 15,538.61 × 3,783.75
4. Step 4: Simplify right side
   10,357.58x = 58,794,225.05
5. Step 5: Solve for x
   x = 58,794,225.05/10,357.58
6. Step 6: Final answer
   x = 5,676.45