Finding the Fourth Proportional to 9,064.14, 12,498.38 and 5,702.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,064.14 : 12,498.38 = 5,702.84 : x
2. Step 2: Convert to fraction form
   9,064.14/12,498.38 = 5,702.84/x
3. Step 3: Cross multiply
   9,064.14x = 12,498.38 × 5,702.84
4. Step 4: Simplify right side
   9,064.14x = 71,276,261.40
5. Step 5: Solve for x
   x = 71,276,261.40/9,064.14
6. Step 6: Final answer
   x = 7,863.54