Finding the Fourth Proportional to 10,492.74, 15,734.14 and 3,824.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.74 : 15,734.14 = 3,824.52 : x
2. Step 2: Convert to fraction form
   10,492.74/15,734.14 = 3,824.52/x
3. Step 3: Cross multiply
   10,492.74x = 15,734.14 × 3,824.52
4. Step 4: Simplify right side
   10,492.74x = 60,175,459.17
5. Step 5: Solve for x
   x = 60,175,459.17/10,492.74
6. Step 6: Final answer
   x = 5,734.96