Finding the Fourth Proportional to 1,846.72, 2,769.71 and 613.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,846.72 : 2,769.71 = 613.76 : x
2. Step 2: Convert to fraction form
   1,846.72/2,769.71 = 613.76/x
3. Step 3: Cross multiply
   1,846.72x = 2,769.71 × 613.76
4. Step 4: Simplify right side
   1,846.72x = 1,699,941.07
5. Step 5: Solve for x
   x = 1,699,941.07/1,846.72
6. Step 6: Final answer
   x = 920.52