Finding the Fourth Proportional to 9,969.96, 13,758.35 and 5,494.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,969.96 : 13,758.35 = 5,494.12 : x
2. Step 2: Convert to fraction form
   9,969.96/13,758.35 = 5,494.12/x
3. Step 3: Cross multiply
   9,969.96x = 13,758.35 × 5,494.12
4. Step 4: Simplify right side
   9,969.96x = 75,590,036.23
5. Step 5: Solve for x
   x = 75,590,036.23/9,969.96
6. Step 6: Final answer
   x = 7,581.78