Finding the Fourth Proportional to 9,857.04, 13,602.72 and 5,665.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,857.04 : 13,602.72 = 5,665.04 : x
2. Step 2: Convert to fraction form
   9,857.04/13,602.72 = 5,665.04/x
3. Step 3: Cross multiply
   9,857.04x = 13,602.72 × 5,665.04
4. Step 4: Simplify right side
   9,857.04x = 77,059,952.91
5. Step 5: Solve for x
   x = 77,059,952.91/9,857.04
6. Step 6: Final answer
   x = 7,817.76