Finding the Fourth Proportional to 1,886.95, 2,829.12 and 776.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,886.95 : 2,829.12 = 776.35 : x
2. Step 2: Convert to fraction form
   1,886.95/2,829.12 = 776.35/x
3. Step 3: Cross multiply
   1,886.95x = 2,829.12 × 776.35
4. Step 4: Simplify right side
   1,886.95x = 2,196,387.31
5. Step 5: Solve for x
   x = 2,196,387.31/1,886.95
6. Step 6: Final answer
   x = 1,163.99