Finding the Fourth Proportional to 10,602.47, 14,631.86 and 5,886.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,602.47 : 14,631.86 = 5,886.75 : x
2. Step 2: Convert to fraction form
   10,602.47/14,631.86 = 5,886.75/x
3. Step 3: Cross multiply
   10,602.47x = 14,631.86 × 5,886.75
4. Step 4: Simplify right side
   10,602.47x = 86,134,116.57
5. Step 5: Solve for x
   x = 86,134,116.57/10,602.47
6. Step 6: Final answer
   x = 8,123.97