Finding the Fourth Proportional to 2,319.82, 3,477.94 and 1,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,319.82 : 3,477.94 = 1,577.50 : x
2. Step 2: Convert to fraction form
   2,319.82/3,477.94 = 1,577.50/x
3. Step 3: Cross multiply
   2,319.82x = 3,477.94 × 1,577.50
4. Step 4: Simplify right side
   2,319.82x = 5,486,437.71
5. Step 5: Solve for x
   x = 5,486,437.71/2,319.82
6. Step 6: Final answer
   x = 2,365.03