Finding the Fourth Proportional to 1,151.01, 1,588.82 and 778.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.01 : 1,588.82 = 778.82 : x
2. Step 2: Convert to fraction form
   1,151.01/1,588.82 = 778.82/x
3. Step 3: Cross multiply
   1,151.01x = 1,588.82 × 778.82
4. Step 4: Simplify right side
   1,151.01x = 1,237,392.95
5. Step 5: Solve for x
   x = 1,237,392.95/1,151.01
6. Step 6: Final answer
   x = 1,075.05