Finding the Fourth Proportional to 11,784.71, 17,674.34 and 5,207.31

Step by Step Solution

1. Step 1: Write the proportion equation
   11,784.71 : 17,674.34 = 5,207.31 : x
2. Step 2: Convert to fraction form
   11,784.71/17,674.34 = 5,207.31/x
3. Step 3: Cross multiply
   11,784.71x = 17,674.34 × 5,207.31
4. Step 4: Simplify right side
   11,784.71x = 92,035,741.39
5. Step 5: Solve for x
   x = 92,035,741.39/11,784.71
6. Step 6: Final answer
   x = 7,809.76