Finding the Fourth Proportional to 5,421.30, 8,077.80 and 5,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,421.30 : 8,077.80 = 5,182.50 : x
2. Step 2: Convert to fraction form
   5,421.30/8,077.80 = 5,182.50/x
3. Step 3: Cross multiply
   5,421.30x = 8,077.80 × 5,182.50
4. Step 4: Simplify right side
   5,421.30x = 41,863,198.50
5. Step 5: Solve for x
   x = 41,863,198.50/5,421.30
6. Step 6: Final answer
   x = 7,721.99