Finding the Fourth Proportional to 10,492.47, 15,733.72 and 3,824.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.47 : 15,733.72 = 3,824.25 : x
2. Step 2: Convert to fraction form
   10,492.47/15,733.72 = 3,824.25/x
3. Step 3: Cross multiply
   10,492.47x = 15,733.72 × 3,824.25
4. Step 4: Simplify right side
   10,492.47x = 60,169,678.71
5. Step 5: Solve for x
   x = 60,169,678.71/10,492.47
6. Step 6: Final answer
   x = 5,734.56