Finding the Fourth Proportional to 10,123.42, 13,970.94 and 5,647.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,123.42 : 13,970.94 = 5,647.18 : x
2. Step 2: Convert to fraction form
   10,123.42/13,970.94 = 5,647.18/x
3. Step 3: Cross multiply
   10,123.42x = 13,970.94 × 5,647.18
4. Step 4: Simplify right side
   10,123.42x = 78,896,412.95
5. Step 5: Solve for x
   x = 78,896,412.95/10,123.42
6. Step 6: Final answer
   x = 7,793.45