Finding the Fourth Proportional to 10,601.54, 14,630.46 and 5,886.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,601.54 : 14,630.46 = 5,886.18 : x
2. Step 2: Convert to fraction form
   10,601.54/14,630.46 = 5,886.18/x
3. Step 3: Cross multiply
   10,601.54x = 14,630.46 × 5,886.18
4. Step 4: Simplify right side
   10,601.54x = 86,117,521.04
5. Step 5: Solve for x
   x = 86,117,521.04/10,601.54
6. Step 6: Final answer
   x = 8,123.11