Finding the Fourth Proportional to 9,784.56, 14,670.32 and 3,208.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.56 : 14,670.32 = 3,208.48 : x
2. Step 2: Convert to fraction form
   9,784.56/14,670.32 = 3,208.48/x
3. Step 3: Cross multiply
   9,784.56x = 14,670.32 × 3,208.48
4. Step 4: Simplify right side
   9,784.56x = 47,069,428.31
5. Step 5: Solve for x
   x = 47,069,428.31/9,784.56
6. Step 6: Final answer
   x = 4,810.58