Finding the Fourth Proportional to 10,783.02, 14,801.07 and 9,577.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,783.02 : 14,801.07 = 9,577.74 : x
2. Step 2: Convert to fraction form
   10,783.02/14,801.07 = 9,577.74/x
3. Step 3: Cross multiply
   10,783.02x = 14,801.07 × 9,577.74
4. Step 4: Simplify right side
   10,783.02x = 141,760,800.18
5. Step 5: Solve for x
   x = 141,760,800.18/10,783.02
6. Step 6: Final answer
   x = 13,146.67