Finding the Fourth Proportional to 9,914.50, 13,682.01 and 5,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.50 : 13,682.01 = 5,498.50 : x
2. Step 2: Convert to fraction form
   9,914.50/13,682.01 = 5,498.50/x
3. Step 3: Cross multiply
   9,914.50x = 13,682.01 × 5,498.50
4. Step 4: Simplify right side
   9,914.50x = 75,230,531.99
5. Step 5: Solve for x
   x = 75,230,531.99/9,914.50
6. Step 6: Final answer
   x = 7,587.93