Finding the Fourth Proportional to 1,861.50, 2,792.59 and 765.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,861.50 : 2,792.59 = 765.27 : x
2. Step 2: Convert to fraction form
   1,861.50/2,792.59 = 765.27/x
3. Step 3: Cross multiply
   1,861.50x = 2,792.59 × 765.27
4. Step 4: Simplify right side
   1,861.50x = 2,137,071.39
5. Step 5: Solve for x
   x = 2,137,071.39/1,861.50
6. Step 6: Final answer
   x = 1,148.04