Finding the Fourth Proportional to 7,561.84, 10,434.89 and 4,204.46

Step by Step Solution

1. Step 1: Write the proportion equation
   7,561.84 : 10,434.89 = 4,204.46 : x
2. Step 2: Convert to fraction form
   7,561.84/10,434.89 = 4,204.46/x
3. Step 3: Cross multiply
   7,561.84x = 10,434.89 × 4,204.46
4. Step 4: Simplify right side
   7,561.84x = 43,873,077.61
5. Step 5: Solve for x
   x = 43,873,077.61/7,561.84
6. Step 6: Final answer
   x = 5,801.91