Finding the Fourth Proportional to 9,681.76, 13,360.20 and 5,702.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,681.76 : 13,360.20 = 5,702.10 : x
2. Step 2: Convert to fraction form
   9,681.76/13,360.20 = 5,702.10/x
3. Step 3: Cross multiply
   9,681.76x = 13,360.20 × 5,702.10
4. Step 4: Simplify right side
   9,681.76x = 76,181,196.42
5. Step 5: Solve for x
   x = 76,181,196.42/9,681.76
6. Step 6: Final answer
   x = 7,868.53