Finding the Fourth Proportional to 2,574.16, 3,861.88 and 1,188.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574.16 : 3,861.88 = 1,188.47 : x
2. Step 2: Convert to fraction form
   2,574.16/3,861.88 = 1,188.47/x
3. Step 3: Cross multiply
   2,574.16x = 3,861.88 × 1,188.47
4. Step 4: Simplify right side
   2,574.16x = 4,589,706.24
5. Step 5: Solve for x
   x = 4,589,706.24/2,574.16
6. Step 6: Final answer
   x = 1,782.99