Finding the Fourth Proportional to 9,774, 14,663.34 and 3,200.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774 : 14,663.34 = 3,200.20 : x
2. Step 2: Convert to fraction form
   9,774/14,663.34 = 3,200.20/x
3. Step 3: Cross multiply
   9,774x = 14,663.34 × 3,200.20
4. Step 4: Simplify right side
   9,774x = 46,925,620.67
5. Step 5: Solve for x
   x = 46,925,620.67/9,774
6. Step 6: Final answer
   x = 4,801.07