Finding the Fourth Proportional to 1,472.13, 2,029.72 and 1,191.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,472.13 : 2,029.72 = 1,191.33 : x
2. Step 2: Convert to fraction form
   1,472.13/2,029.72 = 1,191.33/x
3. Step 3: Cross multiply
   1,472.13x = 2,029.72 × 1,191.33
4. Step 4: Simplify right side
   1,472.13x = 2,418,066.33
5. Step 5: Solve for x
   x = 2,418,066.33/1,472.13
6. Step 6: Final answer
   x = 1,642.56