Finding the Fourth Proportional to 9,677.49, 14,507.10 and 7,585.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.49 : 14,507.10 = 7,585.89 : x
2. Step 2: Convert to fraction form
   9,677.49/14,507.10 = 7,585.89/x
3. Step 3: Cross multiply
   9,677.49x = 14,507.10 × 7,585.89
4. Step 4: Simplify right side
   9,677.49x = 110,049,264.82
5. Step 5: Solve for x
   x = 110,049,264.82/9,677.49
6. Step 6: Final answer
   x = 11,371.67