Finding the Fourth Proportional to 1,507.32, 2,261.78 and 776.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,507.32 : 2,261.78 = 776.88 : x
2. Step 2: Convert to fraction form
   1,507.32/2,261.78 = 776.88/x
3. Step 3: Cross multiply
   1,507.32x = 2,261.78 × 776.88
4. Step 4: Simplify right side
   1,507.32x = 1,757,131.65
5. Step 5: Solve for x
   x = 1,757,131.65/1,507.32
6. Step 6: Final answer
   x = 1,165.73