Finding the Fourth Proportional to 10,051.64, 13,871.49 and 5,575.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,051.64 : 13,871.49 = 5,575.25 : x
2. Step 2: Convert to fraction form
   10,051.64/13,871.49 = 5,575.25/x
3. Step 3: Cross multiply
   10,051.64x = 13,871.49 × 5,575.25
4. Step 4: Simplify right side
   10,051.64x = 77,336,927.39
5. Step 5: Solve for x
   x = 77,336,927.39/10,051.64
6. Step 6: Final answer
   x = 7,693.96