Finding the Fourth Proportional to 10,602.02, 14,631.01 and 5,822.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,602.02 : 14,631.01 = 5,822.15 : x
2. Step 2: Convert to fraction form
   10,602.02/14,631.01 = 5,822.15/x
3. Step 3: Cross multiply
   10,602.02x = 14,631.01 × 5,822.15
4. Step 4: Simplify right side
   10,602.02x = 85,183,934.87
5. Step 5: Solve for x
   x = 85,183,934.87/10,602.02
6. Step 6: Final answer
   x = 8,034.69