Finding the Fourth Proportional to 10,427.56, 14,390.02 and 5,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,427.56 : 14,390.02 = 5,647.50 : x
2. Step 2: Convert to fraction form
   10,427.56/14,390.02 = 5,647.50/x
3. Step 3: Cross multiply
   10,427.56x = 14,390.02 × 5,647.50
4. Step 4: Simplify right side
   10,427.56x = 81,267,637.95
5. Step 5: Solve for x
   x = 81,267,637.95/10,427.56
6. Step 6: Final answer
   x = 7,793.54