Finding the Fourth Proportional to 5,488.64, 8,213.52 and 5,216.48

Step by Step Solution

1. Step 1: Write the proportion equation
   5,488.64 : 8,213.52 = 5,216.48 : x
2. Step 2: Convert to fraction form
   5,488.64/8,213.52 = 5,216.48/x
3. Step 3: Cross multiply
   5,488.64x = 8,213.52 × 5,216.48
4. Step 4: Simplify right side
   5,488.64x = 42,845,662.81
5. Step 5: Solve for x
   x = 42,845,662.81/5,488.64
6. Step 6: Final answer
   x = 7,806.24