Finding the Fourth Proportional to 1,384.50, 1,910.61 and 763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.50 : 1,910.61 = 763.50 : x
2. Step 2: Convert to fraction form
   1,384.50/1,910.61 = 763.50/x
3. Step 3: Cross multiply
   1,384.50x = 1,910.61 × 763.50
4. Step 4: Simplify right side
   1,384.50x = 1,458,750.74
5. Step 5: Solve for x
   x = 1,458,750.74/1,384.50
6. Step 6: Final answer
   x = 1,053.63