Finding the Fourth Proportional to 2,359.46, 3,538.16 and 1,188.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,359.46 : 3,538.16 = 1,188.72 : x
2. Step 2: Convert to fraction form
   2,359.46/3,538.16 = 1,188.72/x
3. Step 3: Cross multiply
   2,359.46x = 3,538.16 × 1,188.72
4. Step 4: Simplify right side
   2,359.46x = 4,205,881.56
5. Step 5: Solve for x
   x = 4,205,881.56/2,359.46
6. Step 6: Final answer
   x = 1,782.56