Finding the Fourth Proportional to 10,782.81, 14,800.77 and 9,577.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782.81 : 14,800.77 = 9,577.53 : x
2. Step 2: Convert to fraction form
   10,782.81/14,800.77 = 9,577.53/x
3. Step 3: Cross multiply
   10,782.81x = 14,800.77 × 9,577.53
4. Step 4: Simplify right side
   10,782.81x = 141,754,696.81
5. Step 5: Solve for x
   x = 141,754,696.81/10,782.81
6. Step 6: Final answer
   x = 13,146.37