Finding the Fourth Proportional to 1,692.52, 2,538.72 and 767.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,692.52 : 2,538.72 = 767.86 : x
2. Step 2: Convert to fraction form
   1,692.52/2,538.72 = 767.86/x
3. Step 3: Cross multiply
   1,692.52x = 2,538.72 × 767.86
4. Step 4: Simplify right side
   1,692.52x = 1,949,381.54
5. Step 5: Solve for x
   x = 1,949,381.54/1,692.52
6. Step 6: Final answer
   x = 1,151.76