Finding the Fourth Proportional to 9,913.21, 13,680.32 and 5,664.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,913.21 : 13,680.32 = 5,664.83 : x
2. Step 2: Convert to fraction form
   9,913.21/13,680.32 = 5,664.83/x
3. Step 3: Cross multiply
   9,913.21x = 13,680.32 × 5,664.83
4. Step 4: Simplify right side
   9,913.21x = 77,496,590.42
5. Step 5: Solve for x
   x = 77,496,590.42/9,913.21
6. Step 6: Final answer
   x = 7,817.51