Finding the Fourth Proportional to 10,601.57, 14,630.40 and 5,886.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,601.57 : 14,630.40 = 5,886.15 : x
2. Step 2: Convert to fraction form
   10,601.57/14,630.40 = 5,886.15/x
3. Step 3: Cross multiply
   10,601.57x = 14,630.40 × 5,886.15
4. Step 4: Simplify right side
   10,601.57x = 86,116,728.96
5. Step 5: Solve for x
   x = 86,116,728.96/10,601.57
6. Step 6: Final answer
   x = 8,123.02