Finding the Fourth Proportional to 3,792.42, 5,688.16 and 1,019.32

Step by Step Solution

1. Step 1: Write the proportion equation
   3,792.42 : 5,688.16 = 1,019.32 : x
2. Step 2: Convert to fraction form
   3,792.42/5,688.16 = 1,019.32/x
3. Step 3: Cross multiply
   3,792.42x = 5,688.16 × 1,019.32
4. Step 4: Simplify right side
   3,792.42x = 5,798,038.48
5. Step 5: Solve for x
   x = 5,798,038.48/3,792.42
6. Step 6: Final answer
   x = 1,528.85