Finding the Fourth Proportional to 9,969.98, 13,758.92 and 5,494.07

Step by Step Solution

1. Step 1: Write the proportion equation
   9,969.98 : 13,758.92 = 5,494.07 : x
2. Step 2: Convert to fraction form
   9,969.98/13,758.92 = 5,494.07/x
3. Step 3: Cross multiply
   9,969.98x = 13,758.92 × 5,494.07
4. Step 4: Simplify right side
   9,969.98x = 75,592,373.34
5. Step 5: Solve for x
   x = 75,592,373.34/9,969.98
6. Step 6: Final answer
   x = 7,582.00