Finding the Fourth Proportional to 9,914.25, 13,681.67 and 5,498.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.25 : 13,681.67 = 5,498.25 : x
2. Step 2: Convert to fraction form
   9,914.25/13,681.67 = 5,498.25/x
3. Step 3: Cross multiply
   9,914.25x = 13,681.67 × 5,498.25
4. Step 4: Simplify right side
   9,914.25x = 75,225,242.08
5. Step 5: Solve for x
   x = 75,225,242.08/9,914.25
6. Step 6: Final answer
   x = 7,587.59