Finding the Fourth Proportional to 1,451.52, 2,178.50 and 802.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,451.52 : 2,178.50 = 802.71 : x
2. Step 2: Convert to fraction form
   1,451.52/2,178.50 = 802.71/x
3. Step 3: Cross multiply
   1,451.52x = 2,178.50 × 802.71
4. Step 4: Simplify right side
   1,451.52x = 1,748,699.72
5. Step 5: Solve for x
   x = 1,748,699.72/1,451.52
6. Step 6: Final answer
   x = 1,204.74