Finding the Fourth Proportional to 9,854.25, 13,599.42 and 5,662.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,854.25 : 13,599.42 = 5,662.77 : x
2. Step 2: Convert to fraction form
   9,854.25/13,599.42 = 5,662.77/x
3. Step 3: Cross multiply
   9,854.25x = 13,599.42 × 5,662.77
4. Step 4: Simplify right side
   9,854.25x = 77,010,387.59
5. Step 5: Solve for x
   x = 77,010,387.59/9,854.25
6. Step 6: Final answer
   x = 7,814.94