Finding the Fourth Proportional to 5,564.16, 7,678.63 and 3,796.34

Step by Step Solution

1. Step 1: Write the proportion equation
   5,564.16 : 7,678.63 = 3,796.34 : x
2. Step 2: Convert to fraction form
   5,564.16/7,678.63 = 3,796.34/x
3. Step 3: Cross multiply
   5,564.16x = 7,678.63 × 3,796.34
4. Step 4: Simplify right side
   5,564.16x = 29,150,656.57
5. Step 5: Solve for x
   x = 29,150,656.57/5,564.16
6. Step 6: Final answer
   x = 5,239.00