Finding the Fourth Proportional to 5,829.60, 8,043.60 and 5,629.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,829.60 : 8,043.60 = 5,629.56 : x
2. Step 2: Convert to fraction form
   5,829.60/8,043.60 = 5,629.56/x
3. Step 3: Cross multiply
   5,829.60x = 8,043.60 × 5,629.56
4. Step 4: Simplify right side
   5,829.60x = 45,281,928.82
5. Step 5: Solve for x
   x = 45,281,928.82/5,829.60
6. Step 6: Final answer
   x = 7,767.59