Finding the Fourth Proportional to 10,385.82, 14,332.34 and 5,670

Step by Step Solution

1. Step 1: Write the proportion equation
   10,385.82 : 14,332.34 = 5,670 : x
2. Step 2: Convert to fraction form
   10,385.82/14,332.34 = 5,670/x
3. Step 3: Cross multiply
   10,385.82x = 14,332.34 × 5,670
4. Step 4: Simplify right side
   10,385.82x = 81,264,381.98
5. Step 5: Solve for x
   x = 81,264,381.98/10,385.82
6. Step 6: Final answer
   x = 7,824.55