Finding the Fourth Proportional to 9,975.13, 13,765.61 and 5,498.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,975.13 : 13,765.61 = 5,498.88 : x
2. Step 2: Convert to fraction form
   9,975.13/13,765.61 = 5,498.88/x
3. Step 3: Cross multiply
   9,975.13x = 13,765.61 × 5,498.88
4. Step 4: Simplify right side
   9,975.13x = 75,695,437.52
5. Step 5: Solve for x
   x = 75,695,437.52/9,975.13
6. Step 6: Final answer
   x = 7,588.42