Finding the Fourth Proportional to 9,662.51, 13,335.50 and 5,684.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662.51 : 13,335.50 = 5,684.00 : x
2. Step 2: Convert to fraction form
   9,662.51/13,335.50 = 5,684.00/x
3. Step 3: Cross multiply
   9,662.51x = 13,335.50 × 5,684.00
4. Step 4: Simplify right side
   9,662.51x = 75,798,929.53
5. Step 5: Solve for x
   x = 75,798,929.53/9,662.51
6. Step 6: Final answer
   x = 7,844.64