Finding the Fourth Proportional to 9,854.28, 13,598.88 and 5,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,854.28 : 13,598.88 = 5,662.50 : x
2. Step 2: Convert to fraction form
   9,854.28/13,598.88 = 5,662.50/x
3. Step 3: Cross multiply
   9,854.28x = 13,598.88 × 5,662.50
4. Step 4: Simplify right side
   9,854.28x = 77,003,658
5. Step 5: Solve for x
   x = 77,003,658/9,854.28
6. Step 6: Final answer
   x = 7,814.23