Finding the Fourth Proportional to 9,777.52, 13,492.92 and 5,585.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,777.52 : 13,492.92 = 5,585.52 : x
2. Step 2: Convert to fraction form
   9,777.52/13,492.92 = 5,585.52/x
3. Step 3: Cross multiply
   9,777.52x = 13,492.92 × 5,585.52
4. Step 4: Simplify right side
   9,777.52x = 75,364,974.52
5. Step 5: Solve for x
   x = 75,364,974.52/9,777.52
6. Step 6: Final answer
   x = 7,707.98