Finding the Fourth Proportional to 5,601.96, 7,721.18 and 3,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,601.96 : 7,721.18 = 3,830.50 : x
2. Step 2: Convert to fraction form
   5,601.96/7,721.18 = 3,830.50/x
3. Step 3: Cross multiply
   5,601.96x = 7,721.18 × 3,830.50
4. Step 4: Simplify right side
   5,601.96x = 29,575,979.99
5. Step 5: Solve for x
   x = 29,575,979.99/5,601.96
6. Step 6: Final answer
   x = 5,279.58