Finding the Fourth Proportional to 10,602.24, 14,630.64 and 5,886.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,602.24 : 14,630.64 = 5,886.82 : x
2. Step 2: Convert to fraction form
   10,602.24/14,630.64 = 5,886.82/x
3. Step 3: Cross multiply
   10,602.24x = 14,630.64 × 5,886.82
4. Step 4: Simplify right side
   10,602.24x = 86,127,944.16
5. Step 5: Solve for x
   x = 86,127,944.16/10,602.24
6. Step 6: Final answer
   x = 8,123.56