Finding the Fourth Proportional to 12,883.14, 17,773.59 and 7,504.77

Step by Step Solution

1. Step 1: Write the proportion equation
   12,883.14 : 17,773.59 = 7,504.77 : x
2. Step 2: Convert to fraction form
   12,883.14/17,773.59 = 7,504.77/x
3. Step 3: Cross multiply
   12,883.14x = 17,773.59 × 7,504.77
4. Step 4: Simplify right side
   12,883.14x = 133,386,705.67
5. Step 5: Solve for x
   x = 133,386,705.67/12,883.14
6. Step 6: Final answer
   x = 10,353.59