Finding the Fourth Proportional to 9,777.71, 13,492.90 and 5,796.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,777.71 : 13,492.90 = 5,796.46 : x
2. Step 2: Convert to fraction form
   9,777.71/13,492.90 = 5,796.46/x
3. Step 3: Cross multiply
   9,777.71x = 13,492.90 × 5,796.46
4. Step 4: Simplify right side
   9,777.71x = 78,210,987.67
5. Step 5: Solve for x
   x = 78,210,987.67/9,777.71
6. Step 6: Final answer
   x = 7,998.91