Finding the Fourth Proportional to 1,094.84, 1,641.24 and 510.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.84 : 1,641.24 = 510.24 : x
2. Step 2: Convert to fraction form
   1,094.84/1,641.24 = 510.24/x
3. Step 3: Cross multiply
   1,094.84x = 1,641.24 × 510.24
4. Step 4: Simplify right side
   1,094.84x = 837,426.30
5. Step 5: Solve for x
   x = 837,426.30/1,094.84
6. Step 6: Final answer
   x = 764.88