Finding the Fourth Proportional to 5,498.52, 7,585.50 and 3,823.98

Step by Step Solution

1. Step 1: Write the proportion equation
   5,498.52 : 7,585.50 = 3,823.98 : x
2. Step 2: Convert to fraction form
   5,498.52/7,585.50 = 3,823.98/x
3. Step 3: Cross multiply
   5,498.52x = 7,585.50 × 3,823.98
4. Step 4: Simplify right side
   5,498.52x = 29,006,800.29
5. Step 5: Solve for x
   x = 29,006,800.29/5,498.52
6. Step 6: Final answer
   x = 5,275.38