Finding the Fourth Proportional to 1,506.84, 2,261.55 and 776.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506.84 : 2,261.55 = 776.93 : x
2. Step 2: Convert to fraction form
   1,506.84/2,261.55 = 776.93/x
3. Step 3: Cross multiply
   1,506.84x = 2,261.55 × 776.93
4. Step 4: Simplify right side
   1,506.84x = 1,757,066.04
5. Step 5: Solve for x
   x = 1,757,066.04/1,506.84
6. Step 6: Final answer
   x = 1,166.06