Finding the Fourth Proportional to 3,492.86, 5,238.78 and 1,027.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,492.86 : 5,238.78 = 1,027.16 : x
2. Step 2: Convert to fraction form
   3,492.86/5,238.78 = 1,027.16/x
3. Step 3: Cross multiply
   3,492.86x = 5,238.78 × 1,027.16
4. Step 4: Simplify right side
   3,492.86x = 5,381,065.26
5. Step 5: Solve for x
   x = 5,381,065.26/3,492.86
6. Step 6: Final answer
   x = 1,540.59