Finding the Fourth Proportional to 9,776.96, 13,492.92 and 5,585.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776.96 : 13,492.92 = 5,585.12 : x
2. Step 2: Convert to fraction form
   9,776.96/13,492.92 = 5,585.12/x
3. Step 3: Cross multiply
   9,776.96x = 13,492.92 × 5,585.12
4. Step 4: Simplify right side
   9,776.96x = 75,359,577.35
5. Step 5: Solve for x
   x = 75,359,577.35/9,776.96
6. Step 6: Final answer
   x = 7,707.87