Finding the Fourth Proportional to 10,553.74, 14,564.26 and 5,773.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,553.74 : 14,564.26 = 5,773.59 : x
2. Step 2: Convert to fraction form
   10,553.74/14,564.26 = 5,773.59/x
3. Step 3: Cross multiply
   10,553.74x = 14,564.26 × 5,773.59
4. Step 4: Simplify right side
   10,553.74x = 84,088,065.89
5. Step 5: Solve for x
   x = 84,088,065.89/10,553.74
6. Step 6: Final answer
   x = 7,967.61