Finding the Fourth Proportional to 2,580.02, 3,870.29 and 824.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,580.02 : 3,870.29 = 824.61 : x
2. Step 2: Convert to fraction form
   2,580.02/3,870.29 = 824.61/x
3. Step 3: Cross multiply
   2,580.02x = 3,870.29 × 824.61
4. Step 4: Simplify right side
   2,580.02x = 3,191,460.49
5. Step 5: Solve for x
   x = 3,191,460.49/2,580.02
6. Step 6: Final answer
   x = 1,236.99