Finding the Fourth Proportional to 10,588.86, 14,618.07 and 7,459.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.86 : 14,618.07 = 7,459.02 : x
2. Step 2: Convert to fraction form
   10,588.86/14,618.07 = 7,459.02/x
3. Step 3: Cross multiply
   10,588.86x = 14,618.07 × 7,459.02
4. Step 4: Simplify right side
   10,588.86x = 109,036,476.49
5. Step 5: Solve for x
   x = 109,036,476.49/10,588.86
6. Step 6: Final answer
   x = 10,297.28