Finding the Fourth Proportional to 9,914.21, 13,681.70 and 5,665.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.21 : 13,681.70 = 5,665.83 : x
2. Step 2: Convert to fraction form
   9,914.21/13,681.70 = 5,665.83/x
3. Step 3: Cross multiply
   9,914.21x = 13,681.70 × 5,665.83
4. Step 4: Simplify right side
   9,914.21x = 77,518,186.31
5. Step 5: Solve for x
   x = 77,518,186.31/9,914.21
6. Step 6: Final answer
   x = 7,818.90