Finding the Fourth Proportional to 9,902.25, 13,665.71 and 5,710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,902.25 : 13,665.71 = 5,710.50 : x
2. Step 2: Convert to fraction form
   9,902.25/13,665.71 = 5,710.50/x
3. Step 3: Cross multiply
   9,902.25x = 13,665.71 × 5,710.50
4. Step 4: Simplify right side
   9,902.25x = 78,038,051.23
5. Step 5: Solve for x
   x = 78,038,051.23/9,902.25
6. Step 6: Final answer
   x = 7,880.84