Finding the Fourth Proportional to 10,553.74, 14,564.54 and 5,838.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,553.74 : 14,564.54 = 5,838.05 : x
2. Step 2: Convert to fraction form
   10,553.74/14,564.54 = 5,838.05/x
3. Step 3: Cross multiply
   10,553.74x = 14,564.54 × 5,838.05
4. Step 4: Simplify right side
   10,553.74x = 85,028,483.56
5. Step 5: Solve for x
   x = 85,028,483.56/10,553.74
6. Step 6: Final answer
   x = 8,056.72