Finding the Fourth Proportional to 10,602.89, 14,631.50 and 5,887.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,602.89 : 14,631.50 = 5,887.47 : x
2. Step 2: Convert to fraction form
   10,602.89/14,631.50 = 5,887.47/x
3. Step 3: Cross multiply
   10,602.89x = 14,631.50 × 5,887.47
4. Step 4: Simplify right side
   10,602.89x = 86,142,517.31
5. Step 5: Solve for x
   x = 86,142,517.31/10,602.89
6. Step 6: Final answer
   x = 8,124.44