Finding the Fourth Proportional to 1,536.12, 2,301.12 and 1,188.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.12 : 2,301.12 = 1,188.24 : x
2. Step 2: Convert to fraction form
   1,536.12/2,301.12 = 1,188.24/x
3. Step 3: Cross multiply
   1,536.12x = 2,301.12 × 1,188.24
4. Step 4: Simplify right side
   1,536.12x = 2,734,282.83
5. Step 5: Solve for x
   x = 2,734,282.83/1,536.12
6. Step 6: Final answer
   x = 1,779.99