Finding the Fourth Proportional to 9,787.32, 14,662.50 and 7,585.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,787.32 : 14,662.50 = 7,585.27 : x
2. Step 2: Convert to fraction form
   9,787.32/14,662.50 = 7,585.27/x
3. Step 3: Cross multiply
   9,787.32x = 14,662.50 × 7,585.27
4. Step 4: Simplify right side
   9,787.32x = 111,219,021.38
5. Step 5: Solve for x
   x = 111,219,021.38/9,787.32
6. Step 6: Final answer
   x = 11,363.58