Finding the Fourth Proportional to 9,985.35, 13,779.69 and 5,509.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,985.35 : 13,779.69 = 5,509.14 : x
2. Step 2: Convert to fraction form
   9,985.35/13,779.69 = 5,509.14/x
3. Step 3: Cross multiply
   9,985.35x = 13,779.69 × 5,509.14
4. Step 4: Simplify right side
   9,985.35x = 75,914,169.03
5. Step 5: Solve for x
   x = 75,914,169.03/9,985.35
6. Step 6: Final answer
   x = 7,602.56