Finding the Fourth Proportional to 9,854.64, 13,599.72 and 5,662.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,854.64 : 13,599.72 = 5,662.80 : x
2. Step 2: Convert to fraction form
   9,854.64/13,599.72 = 5,662.80/x
3. Step 3: Cross multiply
   9,854.64x = 13,599.72 × 5,662.80
4. Step 4: Simplify right side
   9,854.64x = 77,012,494.42
5. Step 5: Solve for x
   x = 77,012,494.42/9,854.64
6. Step 6: Final answer
   x = 7,814.85