Finding the Fourth Proportional to 10,693.13, 14,756.54 and 7,164.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,693.13 : 14,756.54 = 7,164.77 : x
2. Step 2: Convert to fraction form
   10,693.13/14,756.54 = 7,164.77/x
3. Step 3: Cross multiply
   10,693.13x = 14,756.54 × 7,164.77
4. Step 4: Simplify right side
   10,693.13x = 105,727,105.49
5. Step 5: Solve for x
   x = 105,727,105.49/10,693.13
6. Step 6: Final answer
   x = 9,887.39