Finding the Fourth Proportional to 5,216.52, 7,827.54 and 2,296.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,216.52 : 7,827.54 = 2,296.86 : x
2. Step 2: Convert to fraction form
   5,216.52/7,827.54 = 2,296.86/x
3. Step 3: Cross multiply
   5,216.52x = 7,827.54 × 2,296.86
4. Step 4: Simplify right side
   5,216.52x = 17,978,763.52
5. Step 5: Solve for x
   x = 17,978,763.52/5,216.52
6. Step 6: Final answer
   x = 3,446.51