Finding the Fourth Proportional to 10,037.75, 13,852.40 and 5,561.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,037.75 : 13,852.40 = 5,561.42 : x
2. Step 2: Convert to fraction form
   10,037.75/13,852.40 = 5,561.42/x
3. Step 3: Cross multiply
   10,037.75x = 13,852.40 × 5,561.42
4. Step 4: Simplify right side
   10,037.75x = 77,038,917.34
5. Step 5: Solve for x
   x = 77,038,917.34/10,037.75
6. Step 6: Final answer
   x = 7,674.92