Finding the Fourth Proportional to 10,051.38, 13,870.62 and 5,575.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,051.38 : 13,870.62 = 5,575.14 : x
2. Step 2: Convert to fraction form
   10,051.38/13,870.62 = 5,575.14/x
3. Step 3: Cross multiply
   10,051.38x = 13,870.62 × 5,575.14
4. Step 4: Simplify right side
   10,051.38x = 77,330,648.39
5. Step 5: Solve for x
   x = 77,330,648.39/10,051.38
6. Step 6: Final answer
   x = 7,693.54