Finding the Fourth Proportional to 9,854.14, 13,598.75 and 5,662.39

Step by Step Solution

1. Step 1: Write the proportion equation
   9,854.14 : 13,598.75 = 5,662.39 : x
2. Step 2: Convert to fraction form
   9,854.14/13,598.75 = 5,662.39/x
3. Step 3: Cross multiply
   9,854.14x = 13,598.75 × 5,662.39
4. Step 4: Simplify right side
   9,854.14x = 77,001,426.01
5. Step 5: Solve for x
   x = 77,001,426.01/9,854.14
6. Step 6: Final answer
   x = 7,814.12