Finding the Fourth Proportional to 9,779.52, 13,495.50 and 5,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,779.52 : 13,495.50 = 5,587.50 : x
2. Step 2: Convert to fraction form
   9,779.52/13,495.50 = 5,587.50/x
3. Step 3: Cross multiply
   9,779.52x = 13,495.50 × 5,587.50
4. Step 4: Simplify right side
   9,779.52x = 75,406,106.25
5. Step 5: Solve for x
   x = 75,406,106.25/9,779.52
6. Step 6: Final answer
   x = 7,710.61