Finding the Fourth Proportional to 1,415.69, 2,122.69 and 538.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.69 : 2,122.69 = 538.25 : x
2. Step 2: Convert to fraction form
   1,415.69/2,122.69 = 538.25/x
3. Step 3: Cross multiply
   1,415.69x = 2,122.69 × 538.25
4. Step 4: Simplify right side
   1,415.69x = 1,142,543.28
5. Step 5: Solve for x
   x = 1,142,543.28/1,415.69
6. Step 6: Final answer
   x = 807.06