Finding the Fourth Proportional to 9,779.16, 13,495.50 and 5,588.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,779.16 : 13,495.50 = 5,588.76 : x
2. Step 2: Convert to fraction form
   9,779.16/13,495.50 = 5,588.76/x
3. Step 3: Cross multiply
   9,779.16x = 13,495.50 × 5,588.76
4. Step 4: Simplify right side
   9,779.16x = 75,423,110.58
5. Step 5: Solve for x
   x = 75,423,110.58/9,779.16
6. Step 6: Final answer
   x = 7,712.64