Finding the Fourth Proportional to 9,970.25, 13,759.56 and 5,494.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,970.25 : 13,759.56 = 5,494.00 : x
2. Step 2: Convert to fraction form
   9,970.25/13,759.56 = 5,494.00/x
3. Step 3: Cross multiply
   9,970.25x = 13,759.56 × 5,494.00
4. Step 4: Simplify right side
   9,970.25x = 75,595,039.84
5. Step 5: Solve for x
   x = 75,595,039.84/9,970.25
6. Step 6: Final answer
   x = 7,582.06