Finding the Fourth Proportional to 1,026.59, 1,416.69 and 560.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.59 : 1,416.69 = 560.84 : x
2. Step 2: Convert to fraction form
   1,026.59/1,416.69 = 560.84/x
3. Step 3: Cross multiply
   1,026.59x = 1,416.69 × 560.84
4. Step 4: Simplify right side
   1,026.59x = 794,529.34
5. Step 5: Solve for x
   x = 794,529.34/1,026.59
6. Step 6: Final answer
   x = 773.95