Finding the Fourth Proportional to 1,156.10, 1,733.52 and 506.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.10 : 1,733.52 = 506.07 : x
2. Step 2: Convert to fraction form
   1,156.10/1,733.52 = 506.07/x
3. Step 3: Cross multiply
   1,156.10x = 1,733.52 × 506.07
4. Step 4: Simplify right side
   1,156.10x = 877,282.47
5. Step 5: Solve for x
   x = 877,282.47/1,156.10
6. Step 6: Final answer
   x = 758.83