Finding the Fourth Proportional to 9,779.10, 13,496.22 and 5,531.85

Step by Step Solution

1. Step 1: Write the proportion equation
   9,779.10 : 13,496.22 = 5,531.85 : x
2. Step 2: Convert to fraction form
   9,779.10/13,496.22 = 5,531.85/x
3. Step 3: Cross multiply
   9,779.10x = 13,496.22 × 5,531.85
4. Step 4: Simplify right side
   9,779.10x = 74,659,064.61
5. Step 5: Solve for x
   x = 74,659,064.61/9,779.10
6. Step 6: Final answer
   x = 7,634.55