Finding the Fourth Proportional to 10,384.82, 15,585.42 and 3,812.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384.82 : 15,585.42 = 3,812.88 : x
2. Step 2: Convert to fraction form
   10,384.82/15,585.42 = 3,812.88/x
3. Step 3: Cross multiply
   10,384.82x = 15,585.42 × 3,812.88
4. Step 4: Simplify right side
   10,384.82x = 59,425,408.95
5. Step 5: Solve for x
   x = 59,425,408.95/10,384.82
6. Step 6: Final answer
   x = 5,722.33