Finding the Fourth Proportional to 10,148.78, 14,005.27 and 5,672.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,148.78 : 14,005.27 = 5,672.53 : x
2. Step 2: Convert to fraction form
   10,148.78/14,005.27 = 5,672.53/x
3. Step 3: Cross multiply
   10,148.78x = 14,005.27 × 5,672.53
4. Step 4: Simplify right side
   10,148.78x = 79,445,338.83
5. Step 5: Solve for x
   x = 79,445,338.83/10,148.78
6. Step 6: Final answer
   x = 7,828.07