Finding the Fourth Proportional to 1,802.34, 2,704.58 and 762.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,802.34 : 2,704.58 = 762.29 : x
2. Step 2: Convert to fraction form
   1,802.34/2,704.58 = 762.29/x
3. Step 3: Cross multiply
   1,802.34x = 2,704.58 × 762.29
4. Step 4: Simplify right side
   1,802.34x = 2,061,656.95
5. Step 5: Solve for x
   x = 2,061,656.95/1,802.34
6. Step 6: Final answer
   x = 1,143.88