Finding the Fourth Proportional to 10,777.02, 14,860.05 and 7,589.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,777.02 : 14,860.05 = 7,589.31 : x
2. Step 2: Convert to fraction form
   10,777.02/14,860.05 = 7,589.31/x
3. Step 3: Cross multiply
   10,777.02x = 14,860.05 × 7,589.31
4. Step 4: Simplify right side
   10,777.02x = 112,777,526.07
5. Step 5: Solve for x
   x = 112,777,526.07/10,777.02
6. Step 6: Final answer
   x = 10,464.63