Finding the Fourth Proportional to 5,667.60, 7,817.40 and 5,563.92

Step by Step Solution

1. Step 1: Write the proportion equation
   5,667.60 : 7,817.40 = 5,563.92 : x
2. Step 2: Convert to fraction form
   5,667.60/7,817.40 = 5,563.92/x
3. Step 3: Cross multiply
   5,667.60x = 7,817.40 × 5,563.92
4. Step 4: Simplify right side
   5,667.60x = 43,495,388.21
5. Step 5: Solve for x
   x = 43,495,388.21/5,667.60
6. Step 6: Final answer
   x = 7,674.39