Finding the Fourth Proportional to 3,670.16, 5,064.32 and 2,077.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,670.16 : 5,064.32 = 2,077.02 : x
2. Step 2: Convert to fraction form
   3,670.16/5,064.32 = 2,077.02/x
3. Step 3: Cross multiply
   3,670.16x = 5,064.32 × 2,077.02
4. Step 4: Simplify right side
   3,670.16x = 10,518,683.54
5. Step 5: Solve for x
   x = 10,518,683.54/3,670.16
6. Step 6: Final answer
   x = 2,866.01