Finding the Fourth Proportional to 1,470.71, 2,029.56 and 807.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,470.71 : 2,029.56 = 807.56 : x
2. Step 2: Convert to fraction form
   1,470.71/2,029.56 = 807.56/x
3. Step 3: Cross multiply
   1,470.71x = 2,029.56 × 807.56
4. Step 4: Simplify right side
   1,470.71x = 1,638,985.91
5. Step 5: Solve for x
   x = 1,638,985.91/1,470.71
6. Step 6: Final answer
   x = 1,114.42