Finding the Fourth Proportional to 9,314.98, 12,853.91 and 5,486.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.98 : 12,853.91 = 5,486.02 : x
2. Step 2: Convert to fraction form
   9,314.98/12,853.91 = 5,486.02/x
3. Step 3: Cross multiply
   9,314.98x = 12,853.91 × 5,486.02
4. Step 4: Simplify right side
   9,314.98x = 70,516,807.34
5. Step 5: Solve for x
   x = 70,516,807.34/9,314.98
6. Step 6: Final answer
   x = 7,570.26