Finding the Fourth Proportional to 2,530.86, 3,492.57 and 1,648.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,530.86 : 3,492.57 = 1,648.14 : x
2. Step 2: Convert to fraction form
   2,530.86/3,492.57 = 1,648.14/x
3. Step 3: Cross multiply
   2,530.86x = 3,492.57 × 1,648.14
4. Step 4: Simplify right side
   2,530.86x = 5,756,244.32
5. Step 5: Solve for x
   x = 5,756,244.32/2,530.86
6. Step 6: Final answer
   x = 2,274.42