Finding the Fourth Proportional to 2,624.90, 3,938.16 and 776.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,624.90 : 3,938.16 = 776.02 : x
2. Step 2: Convert to fraction form
   2,624.90/3,938.16 = 776.02/x
3. Step 3: Cross multiply
   2,624.90x = 3,938.16 × 776.02
4. Step 4: Simplify right side
   2,624.90x = 3,056,090.92
5. Step 5: Solve for x
   x = 3,056,090.92/2,624.90
6. Step 6: Final answer
   x = 1,164.27