Finding the Fourth Proportional to 9,486.74, 13,096.84 and 5,710.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,486.74 : 13,096.84 = 5,710.82 : x
2. Step 2: Convert to fraction form
   9,486.74/13,096.84 = 5,710.82/x
3. Step 3: Cross multiply
   9,486.74x = 13,096.84 × 5,710.82
4. Step 4: Simplify right side
   9,486.74x = 74,793,700.43
5. Step 5: Solve for x
   x = 74,793,700.43/9,486.74
6. Step 6: Final answer
   x = 7,884.03