Finding the Fourth Proportional to 1,034.53, 1,427.61 and 562.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,034.53 : 1,427.61 = 562.40 : x
2. Step 2: Convert to fraction form
   1,034.53/1,427.61 = 562.40/x
3. Step 3: Cross multiply
   1,034.53x = 1,427.61 × 562.40
4. Step 4: Simplify right side
   1,034.53x = 802,887.86
5. Step 5: Solve for x
   x = 802,887.86/1,034.53
6. Step 6: Final answer
   x = 776.09