Finding the Fourth Proportional to 10,455, 14,427.54 and 5,674.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,455 : 14,427.54 = 5,674.74 : x
2. Step 2: Convert to fraction form
   10,455/14,427.54 = 5,674.74/x
3. Step 3: Cross multiply
   10,455x = 14,427.54 × 5,674.74
4. Step 4: Simplify right side
   10,455x = 81,872,538.34
5. Step 5: Solve for x
   x = 81,872,538.34/10,455
6. Step 6: Final answer
   x = 7,830.95