Finding the Fourth Proportional to 5,613.89, 8,415.33 and 4,782.83

Step by Step Solution

1. Step 1: Write the proportion equation
   5,613.89 : 8,415.33 = 4,782.83 : x
2. Step 2: Convert to fraction form
   5,613.89/8,415.33 = 4,782.83/x
3. Step 3: Cross multiply
   5,613.89x = 8,415.33 × 4,782.83
4. Step 4: Simplify right side
   5,613.89x = 40,249,092.78
5. Step 5: Solve for x
   x = 40,249,092.78/5,613.89
6. Step 6: Final answer
   x = 7,169.55