Finding the Fourth Proportional to 1,026.34, 1,416.30 and 560.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.34 : 1,416.30 = 560.59 : x
2. Step 2: Convert to fraction form
   1,026.34/1,416.30 = 560.59/x
3. Step 3: Cross multiply
   1,026.34x = 1,416.30 × 560.59
4. Step 4: Simplify right side
   1,026.34x = 793,963.62
5. Step 5: Solve for x
   x = 793,963.62/1,026.34
6. Step 6: Final answer
   x = 773.59