Finding the Fourth Proportional to 9,858.21, 13,602.29 and 5,665.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,858.21 : 13,602.29 = 5,665.65 : x
2. Step 2: Convert to fraction form
   9,858.21/13,602.29 = 5,665.65/x
3. Step 3: Cross multiply
   9,858.21x = 13,602.29 × 5,665.65
4. Step 4: Simplify right side
   9,858.21x = 77,065,814.34
5. Step 5: Solve for x
   x = 77,065,814.34/9,858.21
6. Step 6: Final answer
   x = 7,817.42