Finding the Fourth Proportional to 9,857.08, 13,602.12 and 5,665

Step by Step Solution

1. Step 1: Write the proportion equation
   9,857.08 : 13,602.12 = 5,665 : x
2. Step 2: Convert to fraction form
   9,857.08/13,602.12 = 5,665/x
3. Step 3: Cross multiply
   9,857.08x = 13,602.12 × 5,665
4. Step 4: Simplify right side
   9,857.08x = 77,056,009.80
5. Step 5: Solve for x
   x = 77,056,009.80/9,857.08
6. Step 6: Final answer
   x = 7,817.33