Finding the Fourth Proportional to 10,589.90, 14,607.72 and 7,004.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,589.90 : 14,607.72 = 7,004.96 : x
2. Step 2: Convert to fraction form
   10,589.90/14,607.72 = 7,004.96/x
3. Step 3: Cross multiply
   10,589.90x = 14,607.72 × 7,004.96
4. Step 4: Simplify right side
   10,589.90x = 102,326,494.29
5. Step 5: Solve for x
   x = 102,326,494.29/10,589.90
6. Step 6: Final answer
   x = 9,662.65