Finding the Fourth Proportional to 10,253.07, 14,149.23 and 5,537.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,253.07 : 14,149.23 = 5,537.34 : x
2. Step 2: Convert to fraction form
   10,253.07/14,149.23 = 5,537.34/x
3. Step 3: Cross multiply
   10,253.07x = 14,149.23 × 5,537.34
4. Step 4: Simplify right side
   10,253.07x = 78,349,097.25
5. Step 5: Solve for x
   x = 78,349,097.25/10,253.07
6. Step 6: Final answer
   x = 7,641.53