Finding the Fourth Proportional to 10,374.69, 14,316.84 and 5,659.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374.69 : 14,316.84 = 5,659.14 : x
2. Step 2: Convert to fraction form
   10,374.69/14,316.84 = 5,659.14/x
3. Step 3: Cross multiply
   10,374.69x = 14,316.84 × 5,659.14
4. Step 4: Simplify right side
   10,374.69x = 81,021,001.92
5. Step 5: Solve for x
   x = 81,021,001.92/10,374.69
6. Step 6: Final answer
   x = 7,809.49