Finding the Fourth Proportional to 5,674.96, 7,835.25 and 5,075.59

Step by Step Solution

1. Step 1: Write the proportion equation
   5,674.96 : 7,835.25 = 5,075.59 : x
2. Step 2: Convert to fraction form
   5,674.96/7,835.25 = 5,075.59/x
3. Step 3: Cross multiply
   5,674.96x = 7,835.25 × 5,075.59
4. Step 4: Simplify right side
   5,674.96x = 39,768,516.55
5. Step 5: Solve for x
   x = 39,768,516.55/5,674.96
6. Step 6: Final answer
   x = 7,007.72