Finding the Fourth Proportional to 9,777.51, 13,492.71 and 5,585.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,777.51 : 13,492.71 = 5,585.76 : x
2. Step 2: Convert to fraction form
   9,777.51/13,492.71 = 5,585.76/x
3. Step 3: Cross multiply
   9,777.51x = 13,492.71 × 5,585.76
4. Step 4: Simplify right side
   9,777.51x = 75,367,039.81
5. Step 5: Solve for x
   x = 75,367,039.81/9,777.51
6. Step 6: Final answer
   x = 7,708.20