Finding the Fourth Proportional to 9,785.58, 14,684.56 and 5,114.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,785.58 : 14,684.56 = 5,114.02 : x
2. Step 2: Convert to fraction form
   9,785.58/14,684.56 = 5,114.02/x
3. Step 3: Cross multiply
   9,785.58x = 14,684.56 × 5,114.02
4. Step 4: Simplify right side
   9,785.58x = 75,097,133.53
5. Step 5: Solve for x
   x = 75,097,133.53/9,785.58
6. Step 6: Final answer
   x = 7,674.26