Finding the Fourth Proportional to 5,682.50, 7,842.72 and 5,498.08

Step by Step Solution

1. Step 1: Write the proportion equation
   5,682.50 : 7,842.72 = 5,498.08 : x
2. Step 2: Convert to fraction form
   5,682.50/7,842.72 = 5,498.08/x
3. Step 3: Cross multiply
   5,682.50x = 7,842.72 × 5,498.08
4. Step 4: Simplify right side
   5,682.50x = 43,119,902.99
5. Step 5: Solve for x
   x = 43,119,902.99/5,682.50
6. Step 6: Final answer
   x = 7,588.19