Finding the Fourth Proportional to 10,123.20, 13,970.04 and 5,646.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,123.20 : 13,970.04 = 5,646.84 : x
2. Step 2: Convert to fraction form
   10,123.20/13,970.04 = 5,646.84/x
3. Step 3: Cross multiply
   10,123.20x = 13,970.04 × 5,646.84
4. Step 4: Simplify right side
   10,123.20x = 78,886,510.82
5. Step 5: Solve for x
   x = 78,886,510.82/10,123.20
6. Step 6: Final answer
   x = 7,792.65