Finding the Fourth Proportional to 10,357.60, 15,538.74 and 3,783.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.60 : 15,538.74 = 3,783.82 : x
2. Step 2: Convert to fraction form
   10,357.60/15,538.74 = 3,783.82/x
3. Step 3: Cross multiply
   10,357.60x = 15,538.74 × 3,783.82
4. Step 4: Simplify right side
   10,357.60x = 58,795,795.19
5. Step 5: Solve for x
   x = 58,795,795.19/10,357.60
6. Step 6: Final answer
   x = 5,676.58