Finding the Fourth Proportional to 9,777.25, 13,492.74 and 5,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,777.25 : 13,492.74 = 5,585.50 : x
2. Step 2: Convert to fraction form
   9,777.25/13,492.74 = 5,585.50/x
3. Step 3: Cross multiply
   9,777.25x = 13,492.74 × 5,585.50
4. Step 4: Simplify right side
   9,777.25x = 75,363,699.27
5. Step 5: Solve for x
   x = 75,363,699.27/9,777.25
6. Step 6: Final answer
   x = 7,708.07