Finding the Fourth Proportional to 9,731.12, 14,597.76 and 4,185.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,731.12 : 14,597.76 = 4,185.02 : x
2. Step 2: Convert to fraction form
   9,731.12/14,597.76 = 4,185.02/x
3. Step 3: Cross multiply
   9,731.12x = 14,597.76 × 4,185.02
4. Step 4: Simplify right side
   9,731.12x = 61,091,917.56
5. Step 5: Solve for x
   x = 61,091,917.56/9,731.12
6. Step 6: Final answer
   x = 6,277.99