Finding the Fourth Proportional to 5,478.83, 7,564.25 and 4,217.51

Step by Step Solution

1. Step 1: Write the proportion equation
   5,478.83 : 7,564.25 = 4,217.51 : x
2. Step 2: Convert to fraction form
   5,478.83/7,564.25 = 4,217.51/x
3. Step 3: Cross multiply
   5,478.83x = 7,564.25 × 4,217.51
4. Step 4: Simplify right side
   5,478.83x = 31,902,300.02
5. Step 5: Solve for x
   x = 31,902,300.02/5,478.83
6. Step 6: Final answer
   x = 5,822.83