Finding the Fourth Proportional to 9,678.56, 13,356.89 and 5,700.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678.56 : 13,356.89 = 5,700.96 : x
2. Step 2: Convert to fraction form
   9,678.56/13,356.89 = 5,700.96/x
3. Step 3: Cross multiply
   9,678.56x = 13,356.89 × 5,700.96
4. Step 4: Simplify right side
   9,678.56x = 76,147,095.61
5. Step 5: Solve for x
   x = 76,147,095.61/9,678.56
6. Step 6: Final answer
   x = 7,867.61