Finding the Fourth Proportional to 10,602.90, 14,630.63 and 5,886.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,602.90 : 14,630.63 = 5,886.27 : x
2. Step 2: Convert to fraction form
   10,602.90/14,630.63 = 5,886.27/x
3. Step 3: Cross multiply
   10,602.90x = 14,630.63 × 5,886.27
4. Step 4: Simplify right side
   10,602.90x = 86,119,809.02
5. Step 5: Solve for x
   x = 86,119,809.02/10,602.90
6. Step 6: Final answer
   x = 8,122.29