Finding the Fourth Proportional to 3,647.68, 5,471.59 and 1,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,647.68 : 5,471.59 = 1,182.50 : x
2. Step 2: Convert to fraction form
   3,647.68/5,471.59 = 1,182.50/x
3. Step 3: Cross multiply
   3,647.68x = 5,471.59 × 1,182.50
4. Step 4: Simplify right side
   3,647.68x = 6,470,127.82
5. Step 5: Solve for x
   x = 6,470,127.82/3,647.68
6. Step 6: Final answer
   x = 1,773.77