Finding the Fourth Proportional to 9,783.20, 14,648.88 and 5,152.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,783.20 : 14,648.88 = 5,152.16 : x
2. Step 2: Convert to fraction form
   9,783.20/14,648.88 = 5,152.16/x
3. Step 3: Cross multiply
   9,783.20x = 14,648.88 × 5,152.16
4. Step 4: Simplify right side
   9,783.20x = 75,473,373.58
5. Step 5: Solve for x
   x = 75,473,373.58/9,783.20
6. Step 6: Final answer
   x = 7,714.59