Finding the Fourth Proportional to 9,779.07, 13,493.82 and 5,530.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,779.07 : 13,493.82 = 5,530.71 : x
2. Step 2: Convert to fraction form
   9,779.07/13,493.82 = 5,530.71/x
3. Step 3: Cross multiply
   9,779.07x = 13,493.82 × 5,530.71
4. Step 4: Simplify right side
   9,779.07x = 74,630,405.21
5. Step 5: Solve for x
   x = 74,630,405.21/9,779.07
6. Step 6: Final answer
   x = 7,631.65