Finding the Fourth Proportional to 3,670.59, 5,065.16 and 2,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,670.59 : 5,065.16 = 2,077.50 : x
2. Step 2: Convert to fraction form
   3,670.59/5,065.16 = 2,077.50/x
3. Step 3: Cross multiply
   3,670.59x = 5,065.16 × 2,077.50
4. Step 4: Simplify right side
   3,670.59x = 10,522,859.51
5. Step 5: Solve for x
   x = 10,522,859.51/3,670.59
6. Step 6: Final answer
   x = 2,866.80