Finding the Fourth Proportional to 10,355.64, 15,524.12 and 3,780.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,355.64 : 15,524.12 = 3,780.27 : x
2. Step 2: Convert to fraction form
   10,355.64/15,524.12 = 3,780.27/x
3. Step 3: Cross multiply
   10,355.64x = 15,524.12 × 3,780.27
4. Step 4: Simplify right side
   10,355.64x = 58,685,346.21
5. Step 5: Solve for x
   x = 58,685,346.21/10,355.64
6. Step 6: Final answer
   x = 5,666.99