Finding the Fourth Proportional to 9,808.58, 13,538.49 and 5,617.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,808.58 : 13,538.49 = 5,617.46 : x
2. Step 2: Convert to fraction form
   9,808.58/13,538.49 = 5,617.46/x
3. Step 3: Cross multiply
   9,808.58x = 13,538.49 × 5,617.46
4. Step 4: Simplify right side
   9,808.58x = 76,051,926.04
5. Step 5: Solve for x
   x = 76,051,926.04/9,808.58
6. Step 6: Final answer
   x = 7,753.61