Finding the Fourth Proportional to 9,902.17, 13,666.80 and 5,710.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,902.17 : 13,666.80 = 5,710.42 : x
2. Step 2: Convert to fraction form
   9,902.17/13,666.80 = 5,710.42/x
3. Step 3: Cross multiply
   9,902.17x = 13,666.80 × 5,710.42
4. Step 4: Simplify right side
   9,902.17x = 78,043,168.06
5. Step 5: Solve for x
   x = 78,043,168.06/9,902.17
6. Step 6: Final answer
   x = 7,881.42