Finding the Fourth Proportional to 10,123.40, 13,966.98 and 5,646.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,123.40 : 13,966.98 = 5,646.32 : x
2. Step 2: Convert to fraction form
   10,123.40/13,966.98 = 5,646.32/x
3. Step 3: Cross multiply
   10,123.40x = 13,966.98 × 5,646.32
4. Step 4: Simplify right side
   10,123.40x = 78,862,038.51
5. Step 5: Solve for x
   x = 78,862,038.51/10,123.40
6. Step 6: Final answer
   x = 7,790.07