Finding the Fourth Proportional to 10,434.61, 14,399.82 and 5,654.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434.61 : 14,399.82 = 5,654.63 : x
2. Step 2: Convert to fraction form
   10,434.61/14,399.82 = 5,654.63/x
3. Step 3: Cross multiply
   10,434.61x = 14,399.82 × 5,654.63
4. Step 4: Simplify right side
   10,434.61x = 81,425,654.17
5. Step 5: Solve for x
   x = 81,425,654.17/10,434.61
6. Step 6: Final answer
   x = 7,803.42