Finding the Fourth Proportional to 1,582.03, 2,374.49 and 802.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.03 : 2,374.49 = 802.57 : x
2. Step 2: Convert to fraction form
   1,582.03/2,374.49 = 802.57/x
3. Step 3: Cross multiply
   1,582.03x = 2,374.49 × 802.57
4. Step 4: Simplify right side
   1,582.03x = 1,905,696.45
5. Step 5: Solve for x
   x = 1,905,696.45/1,582.03
6. Step 6: Final answer
   x = 1,204.59