Finding the Fourth Proportional to 7,827.59, 10,807.52 and 5,465.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,827.59 : 10,807.52 = 5,465.63 : x
2. Step 2: Convert to fraction form
   7,827.59/10,807.52 = 5,465.63/x
3. Step 3: Cross multiply
   7,827.59x = 10,807.52 × 5,465.63
4. Step 4: Simplify right side
   7,827.59x = 59,069,824.17
5. Step 5: Solve for x
   x = 59,069,824.17/7,827.59
6. Step 6: Final answer
   x = 7,546.37